Tootfinder

"Of mushrooms and mycelium: How fungi are powering eco-friendly solutions"
#Mushrooms #Fungi

Of mushrooms and mycelium: How fungi are powering eco-friendly solutions
Often hidden from view, fungi are a critical part of our ecosystems. Some can be eaten as mushrooms; others help trees and forests thrive. But that’s not all: they’re also helping us create low-cost, sustainable housing materials and additional income for farmers, says Gabriela D’Elia, director of the Fungal Diversity Survey and a fungi enthusiast, […]

Scaling solutions for current-carrying cosmic string networks. II. Biased solutions
F. C. N. Q. Pimenta, C. J. A. P. Martins
https://arxiv.org/abs/2506.21494

Scaling solutions for current-carrying cosmic string networks. II. Biased solutions
The charge-velocity-dependent one-scale model is an extension of the canonical velocity-dependent one-scale model which explicitly incorporates additional degrees of freedom on the string worldsheet, such as arbitrary currents and charges, expected in physically realistic models. A previous paper [Pimenta and Martins, Phys. Rev. D 110, 023540 (2024)] started an in-depth classification of its possible asymptotic scaling solutions, with the goal of identifying distinguishing features which may be…

Self-Similar Solutions to the Hele-Shaw Problem with Surface Tension
Siddhant Agrawal, Neel Patel
https://arxiv.org/abs/2507.19443 https://arxiv.org/pdf/25…

Self-Similar Solutions to the Hele-Shaw Problem with Surface Tension
We consider the Hele-Shaw problem with surface tension in an infinite domain. We prove the existence of a family of self-similar solutions. At $t=0$, these solutions have a corner of angle $θ$ with $ 0 < |θ- π| \ll 1$, and for $t>0$, the solutions are smooth.

Barenblatt solutions for the time-fractional porous medium equation: approach via integral equations
Josefa Caballero, Hanna Okrasi\'nska-P{\l}ociniczak, {\L}ukasz P{\l}ociniczak, Kishin Sadarangani
https://arxiv.org/abs/2507.19217

Barenblatt solutions for the time-fractional porous medium equation: approach via integral equations
This paper explores Barenblatt solutions of the time-fractional porous medium equation, characterized by a Caputo-type time derivative. Employing an integral equation approach, we rigorously prove the existence of these solutions and establish several fundamental properties, including upper and lower estimates, mass conservation, regularity, and monotonicity. To bridge theory and practice, we introduce a family of convergent numerical schemes specifically designed to compute the Barenblatt solu…

On the regularity of solutions to the Hamilton-Jacobi equations for the N-body problem
Diego Berti, Davide Polimeni, Susanna Terracini
https://arxiv.org/abs/2507.19170 https://

On the regularity of solutions to the Hamilton-Jacobi equations for the N-body problem
We prove that certain suitably renormalized value functions associated with the $d$-dimensional ($d\geq2$) $N$-body problem corresponding to different limiting shapes of expanding solutions, under the assumption that the center of mass is at the origin, are viscosity solutions of the associated Hamilton-Jacobi equation. We analyze their singularities, defined as the initial configurations for which the minimizer of the associated variational problem is not unique. Moreover, we estimate the size…

LexisNexis Risk Solutions says 364,000 impacted by breach involving GitHub data https://therecord.media/lexis-nexis-breach-hundreds-thousands

A Programming Language for Feasible Solutions
Weijun Chen, Yuxi Fu, Huan Long
https://arxiv.org/abs/2507.19176 https://arxiv.org/pdf/2507.19176

A Programming Language for Feasible Solutions
Runtime efficiency and termination are crucial properties in the studies of program verification. Instead of dealing with these issues in an ad hoc manner, it would be useful to develop a robust framework in which such properties are guaranteed by design. This paper introduces a new imperative programming language whose design is grounded in a static type system that ensures the following equivalence property: All definable programs are guaranteed to run in polynomial time; Conversely, all prob…

Towards Effective Immersive Technologies in Medicine: Potential and Future Applications based on VR, AR, XR and AI solutions
Aliaksandr Marozau, Barbara Karpowicz, Tomasz Kowalewski, Pavlo Zinevych, Wiktor Stawski, Adam Kuzdrali\'nski, Wies{\l}aw Kope\'c
https://arxiv.org/abs/2507.19466

Towards Effective Immersive Technologies in Medicine: Potential and Future Applications based on VR, AR, XR and AI solutions
Mixed Reality (MR) technologies such as Virtual and Augmented Reality (VR, AR) are well established in medical practice, enhancing diagnostics, treatment, and education. However, there are still some limitations and challenges that may be overcome thanks to the latest generations of equipment, software, and frameworks based on eXtended Reality (XR) by enabling immersive systems that support safer, more controlled environments for training and patient care. Our review highlights recent VR and AR…

My task reminder for today: "research Network Attacked Storage solutions"
@… : "that's not what it's called"
me: "that's not what it's called but that's what it is"

A year after the CrowdStrike incident spawned BSODs across the world, in July, Microsoft will roll out its Windows endpoint security platform to allow Windows solutions to run outside the kernel, hopefully eliminating the chance of such an incident again.
https://redmondmag.c…

Every day, 125 Americans are killed with guns.
But we can work together to make every town safer, and support solutions that will address the causes of gun violence in America.
Sign up today and become part of a movement of millions of everyday Americans.
https://everytownsupportfund.org/join/

Join Us
Every day, 125 Americans are killed with guns. But we can work together to make every town safer, and support solutions that will address the causes of gun violence in …

The local supersymmetries of a stack of branes
Rapha\"el Dulac, Yixuan Li
https://arxiv.org/abs/2507.18702 https://arxiv.org/pdf/2507.18702

The local supersymmetries of a stack of branes
Local supersymmetries have been a guiding principle to construct smooth horizonless supergravity solutions. By computing brane densities from the brane low-energy effective action, we classify which BPS solutions have the maximal local supersymmetry structure, with sixteen supersymmetries. We find that whenever the gauge group is broken to its maximal abelian subgroup, the brane construction becomes purely geometric and one can identify the preserved local supercharges. This class of solution i…

Vanishing viscosity non-unique solutions to the forced 2D Euler Equations
Dallas Albritton, Maria Colombo, Giulia Mescolini
https://arxiv.org/abs/2507.19257 https://

Vanishing viscosity non-unique solutions to the forced 2D Euler Equations
The forced 2D Euler equations exhibit non-unique solutions with vorticity in $L^p$, $p > 1$, whereas the corresponding Navier-Stokes solutions are unique. We investigate whether the inviscid limit $ν\to 0^+$ from the forced 2D Navier-Stokes to Euler equations is a selection principle capable of "resolving" the non-uniqueness. We focus on solutions in a neighborhood of the non-uniqueness scenario discovered by Vishik; specifically, we incorporate viscosity $ν$ and consider $O(\varepsilon)$ siz…

Question for #dotnet and #developer folks. How long does it typically take your team to evaluate, proof of concept, implement, and deploy a medium-to-large dependency in your solutions?
🙏Boosts are appreciated

On the construction of solutions of the Davey--Stewartson I equation using an open Toda chain
I. T. Habibullin, A. R. Khakimova
https://arxiv.org/abs/2505.20786

On the construction of solutions of the Davey--Stewartson I equation using an open Toda chain
An effective method for constructing explicit solutions to the Davey--Stewartson type integrable equations is discussed based on the use of a dressing chain. The application of the method is exemplified by the equation DS I, for which a new class of explicit solutions is constructed, containing freedom in two arbitrary functions. In this case the generalized Toda lattice corresponding to the simple Lie algebra $A_2$ is used as a dressing chain.

AI Enabled 6G for Semantic Metaverse: Prospects, Challenges and Solutions for Future Wireless VR
Muhammad Ahmed Mohsin, Sagnik Bhattacharya, Abhiram Gorle, Muhammad Ali Jamshed, John M. Cioffi
https://arxiv.org/abs/2507.19124

AI Enabled 6G for Semantic Metaverse: Prospects, Challenges and Solutions for Future Wireless VR
Wireless support of virtual reality (VR) has challenges when a network has multiple users, particularly for 3D VR gaming, digital AI avatars, and remote team collaboration. This work addresses these challenges through investigation of the low-rank channels that inevitably occur when there are more active users than there are degrees of spatial freedom, effectively often the number of antennas. The presented approach uses optimal nonlinear transceivers, equivalently generalized decision-feedback…

Big Data Energy Systems: A Survey of Practices and Associated Challenges
Lunodzo J. Mwinuka, Massimo Cafaro, Lucas Pereira, Hugo Morais
https://arxiv.org/abs/2507.19154 https://…

Big Data Energy Systems: A Survey of Practices and Associated Challenges
Energy systems generate vast amounts of data in extremely short time intervals, creating challenges for efficient data management. Traditional data management methods often struggle with scalability and accessibility, limiting their usefulness. More advanced solutions, such as NoSQL databases and cloud-based platforms, have been adopted to address these issues. Still, even these advanced solutions can encounter bottlenecks, which can impact the efficiency of data storage, retrieval, and analysi…

As Israel announces 22 new West Bank colonies:
RT:
Apartheid South Africa was destroyed.
That didn't mean that white South Africans were massacred or expelled.
Likewise, Apartheid Israel will end. Not with 2 States (an Apartheid State and a Bantustan), but with one, plurinational State, based on equality and reparations, from the river to the sea.
It's a big ask, a hard to realise dream, but no less realistic than the fantastical non-solutions that dominate m…

North Carolina-based Eton Solutions, which offers wealth management ERP tools for single- and multifamily offices, raised a $58M Series C led by Navis Capital (Ryan Lawler/Axios)
https://www.axios.com/pro/fintech-deals/2025/07/16/eton-solutions-58m-fam…

Exclusive: Eton Solutions raises $58M for family office ERP
The company's tech provides a single source of truth for the ultra-rich.

We are thrilled to announce that Elastic has once again joined Berlin Buzzwords as a Silver Partner.
Learn more about Elastic: https://www.elastic.co/

Elastic — The Search AI Company
Power insights and outcomes with The Elastic Search AI Platform. See into your data and find answers that matter with enterprise solutions designed to help you accelerate time to insight. Try Elastic ...

Fighting Carpal Tunnel One Key at a Time
Juggling fireworks sales and dealing with carpal tunnel syndrome. I'm also exploring ergonomic keyboards and announcing a new music post series on Substack. Overall, just trying to balance work, health, and creativity!
https://www.bobmuellerwrit…

Fighting Carpal Tunnel One Key at a Time – Bob Mueller
This week: Talking about keyboard solutions for carpal tunnel, and announcing a new location for some musical posts.

On Reconfigurable Bisimulation, with an Application to the Distributed Synthesis Problem
Yehia Abd Alrahman, Nir Piterman
https://arxiv.org/abs/2505.21672 …

On Reconfigurable Bisimulation, with an Application to the Distributed Synthesis Problem
We consider the problem of distributing a centralised transition system to a set of asynchronous agents recognising the same language. Existing solutions are either manual or involve a huge explosion in the number of states from the centralised system. The difficulty arises from the need to keep a rigid communication scheme, specifying a fixed mapping from events to those who can participate in them. Thus, individual agents need to memorise seen events and their order to dynamically compare the…

MemoCoder: Automated Function Synthesis using LLM-Supported Agents
Yiping Jia, Zhen Ming Jiang, Shayan Noei, Ying Zou
https://arxiv.org/abs/2507.18812 https://

MemoCoder: Automated Function Synthesis using LLM-Supported Agents
With the widespread adoption of Large Language Models (LLMs) such as GitHub Copilot and ChatGPT, developers increasingly rely on AI-assisted tools to support code generation. While LLMs can generate syntactically correct solutions for well-structured programming tasks, they often struggle with challenges that require iterative debugging, error handling, or adaptation to diverse problem structures. Existing approaches such as fine-tuning or self-repair strategies either require costly retraining…

Modulus of continuity for solutions of non-local heat equations
Ben Andrews, Sophie Chen
https://arxiv.org/abs/2507.19023 https://arxiv.org/pdf/2507.19023

Modulus of continuity for solutions of non-local heat equations
We extend the method of modulus of continuity for solutions of parabolic equations--as used, for instance, to prove the Fundamental Gap Conjecture--to solutions of non-local heat equations on R^n and in dimension one with a non-local Neumann boundary condition. Specifically, we show that if a solution of a non-local heat equation has an initial modulus of continuity satisfying simple criteria, then this modulus of continuity is preserved at all subsequent times. In the process of trying to gene…

Born and raised in New Mexico,
Congresswoman Melanie Stansbury
leads with determination and compassion.
She has dedicated her career to finding solutions to water issues,
poverty, and climate change
— representing New Mexico in the Legislature and now in Congress.
She is a champion of efforts to address hunger, food, and water insecurity,
conservation and climate change,
and economic development and recovery.
Rep. Stansbury worked in c…

Existence of Strong Randomized Equilibria in Mean-Field Games of Optimal Stopping with Common Noise
Giorgio Ferrari, Anna Pajola
https://arxiv.org/abs/2507.19123 https://…

Existence of Strong Randomized Equilibria in Mean-Field Games of Optimal Stopping with Common Noise
We study a mean-field game of optimal stopping and investigate the existence of strong solutions via a connection with the Bank-El Karoui's representation problem. Under certain continuity assumptions, where the common noise is generated by a countable partition, we show that a strong randomized mean-field equilibrium exists, in which the mean-field interaction term is adapted to the common noise and the stopping time is randomized. Furthermore, under suitable monotonicity assumptions and for a…

A generalized semi-analytic model for the combined outflow from a cluster of stars with strong stellar winds
Stan Owocki
https://arxiv.org/abs/2507.18721 https://

A generalized semi-analytic model for the combined outflow from a cluster of stars with strong stellar winds
We derive semi-analytic solutions for the thermally driven cumulative outflow from a dense stellar cluster that consists of a large number of stars with strong stellar winds, under the key assumption that their mass and energy deposition can be treated as a continuous source of thermalized wind material. Our approach provides explicit analytic forms for the flow critical radius and sound speed, which then allows for full solution by inward/outward integration from this critical radius. Applicat…

Rare dense solutions clusters in asymmetric binary perceptrons -- local entropy via fully lifted RDT
Mihailo Stojnic
https://arxiv.org/abs/2506.19276 https…

Rare dense solutions clusters in asymmetric binary perceptrons -- local entropy via fully lifted RDT
We study classical asymmetric binary perceptron (ABP) and associated \emph{local entropy} (LE) as potential source of its algorithmic hardness. Isolation of \emph{typical} ABP solutions in SAT phase seemingly suggests a universal algorithmic hardness. Paradoxically, efficient algorithms do exist even for constraint densities $α$ fairly close but at a finite distance (\emph{computational gap}) from the capacity. In recent years, existence of rare large dense clusters and magical ability of fast…

Charged black holes surrounded by shells of charged particles
David Fajman, Hannah Seer
https://arxiv.org/abs/2506.21293 https://arxi…

Charged black holes surrounded by shells of charged particles
We construct new static solutions to the Einstein-Vlasov-Maxwell system. These solutions model Reissner-Nordstrom-type black holes with surrounding shells of charged matter.

More about solutions of quadratic equations
Wolf-Dieter Richter
https://arxiv.org/abs/2506.20429 https://arxiv.org/pdf/2506.20429

More about solutions of quadratic equations
For polynomials of degree two which have no zeros, the method of accompanying variables is developed and zeros of associated vector polynomials are determined. Our flexible method uses a wide variety of possible vector-valued vector squaring methods and can be adopted to a wide variety of application situations. Known solutions are made much more precise by replacing the imaginary component and supplemented by introducing a whole class of new vector solutions. Circular, generalized circular and…

Multi-Objective Covariance Matrix Adaptation MAP-Annealing
Shihan Zhao, Stefanos Nikolaidis
https://arxiv.org/abs/2505.20712 https://…

Multi-Objective Covariance Matrix Adaptation MAP-Annealing
Quality-Diversity (QD) optimization is an emerging field that focuses on finding a set of behaviorally diverse and high-quality solutions. While the quality is typically defined w.r.t. a single objective function, recent work on Multi-Objective Quality-Diversity (MOQD) extends QD optimization to simultaneously optimize multiple objective functions. This opens up multi-objective applications for QD, such as generating a diverse set of game maps that maximize difficulty, realism, or other propert…

NASA’s NICER (Neutron star Interior Composition Explorer), an X-ray telescope on the International Space Station, has paused observations due to a problem with one of the motors that drives its ability to track cosmic objects: #NICER team paused operations June 17 when performance degradation in the motor began affecting science observations. Engineers are investigating the cause and potential solutions.

Replaced article(s) found for eess.SY. https://arxiv.org/list/eess.SY/new
[1/1]:
- Controller Adaptation via Learning Solutions of Contextual Bayesian Optimization
Viet-Anh Le, Andreas A. Malikopoulos

Infinite graphs satisfying the Bakry-Emery curvature condition CD(0, n): The modified heat equation and applications to geometric analysis
Emmanuel Russ (I2M), Herv\'e Pajot (IF)
https://arxiv.org/abs/2507.19235

Infinite graphs satisfying the Bakry-Emery curvature condition CD(0, n): The modified heat equation and applications to geometric analysis
Let G = (V, p, $μ$) be a (finite or infinite) weighted graph with bounded geometry. Assuming that G satisfies the classical curvaturedimension condition of Bakry-Emery CD(K, n) with K $\ge$ 0 (for the usual Laplacian), we prove that the doubling volume property holds. One of the key points is to establish the existence and uniqueness of solutions of a modified non linear heat equation which replaces the standard one usually used in the case of Riemannian manifolds. Li-Yau and Harnack estimates…

Limitations of Nyquist Criteria in the Discretization of 2D Electromagnetic Integral Equations at High Frequency: Spectral Insights into Pollution Effects
Viviana Giunzioni, Adrien Merlini, Francesco P. Andriulli
https://arxiv.org/abs/2505.20942

Limitations of Nyquist Criteria in the Discretization of 2D Electromagnetic Integral Equations at High Frequency: Spectral Insights into Pollution Effects
The use of boundary integral equations in modeling boundary value problems-such as elastic, acoustic, or electromagnetic ones-is well established in the literature and widespread in practical applications. These equations are typically solved numerically using boundary element methods (BEMs), which generally provide accurate and reliable solutions. When the frequency of the wave phenomenon under study increases, the discretization of the problem is typically chosen to maintain a fixed number of…

Statistical Strong Lensing as a Test of Conformal Gravity
Li-Xue Yue, Da-Ming Chen
https://arxiv.org/abs/2506.21019 https://arxiv.org…

Statistical Strong Lensing as a Test of Conformal Gravity
As an alternative gravitational theory to General Relativity (GR), Conformal Gravity (CG) can be verified through astronomical observations. Currently, Mannheim and Kazanas have provided vacuum solutions for cosmological and local gravitational systems, and these solutions may resolve the dark matter and dark energy issues encountered in GR, making them particularly valuable. For static, spherically symmetric systems, CG predicts an additional linear potential generated by luminous matter in ad…

Dynamical friction and massive black hole orbits: analytical predictions and numerical solutions
Alice Damiano, Stefano Borgani, Milena Valentini, Giuseppe Murante, Luca Tornatore, Petr Strakos, Milan Jaros
https://arxiv.org/abs/2506.20740

Dynamical friction and massive black hole orbits: analytical predictions and numerical solutions
We investigate the orbital decay of a massive BH embedded in a dark matter halo and a stellar bulge, using both analytical and numerical simulations with the aim of developing and validating a reliable dynamical friction (DF) correction across simulation resolutions. We develop a Python-based library to solve the equations of motion of the BH and provide an analytical framework for the numerical results. Then, we carry out simulations at different resolutions and for different softening choices…

A highly overlooked perspective, about the current AI discussion, where AI and LLMs are treated as synonyms and so hype and money is funnled into highly inefficient pseudo-solutions when sometimes just a bunch of if-else statements or a state machine would suffice
https://www.youtube.com/watch?v=pnNW4_1DqF

Replaced article(s) found for math.QA. https://arxiv.org/list/math.QA/new
[1/1]:
- Endocabling of involutive solutions to the Yang-Baxter equation, with an application to solutions...
Carsten Dietzel

Prediction of Mechanical Properties and Thermodynamic Stability of Ti-N system using MTP Interatomic Potential
Pradeep Kumar Rana, Atharva Vyawahare, Rohit Batra, Satyesh Kumar Yadav
https://arxiv.org/abs/2507.18873

Prediction of Mechanical Properties and Thermodynamic Stability of Ti-N system using MTP Interatomic Potential
Ti-N material system have range of compounds with different stoichiometry like Ti2N, Ti3N2, Ti6N5, Ti4N3 alongwith Ti , TiN and solid solutions of N in Ti with a maximum of 23% solubility. In this work, we develop an interatomic potential based on moment tensor potential (MTP) that could reliably predict mechanical properties and thermodynamic stability of all Ti-N system. Taking into account the structural similarity and dissimilarity of various Ti-N system to choose training dataset was cruci…

CovDocker: Benchmarking Covalent Drug Design with Tasks, Datasets, and Solutions
Yangzhe Peng, Kaiyuan Gao, Liang He, Yuheng Cong, Haiguang Liu, Kun He, Lijun Wu
https://arxiv.org/abs/2506.21085

CovDocker: Benchmarking Covalent Drug Design with Tasks, Datasets, and Solutions
Molecular docking plays a crucial role in predicting the binding mode of ligands to target proteins, and covalent interactions, which involve the formation of a covalent bond between the ligand and the target, are particularly valuable due to their strong, enduring binding nature. However, most existing docking methods and deep learning approaches hardly account for the formation of covalent bonds and the associated structural changes. To address this gap, we introduce a comprehensive benchmark…

Sequence-Only Prediction of Binding Affinity Changes: A Robust and Interpretable Model for Antibody Engineering
Chen Liu, Mingchen Li, Yang Tan, Wenrui Gou, Guisheng Fan, Bingxin Zhou
https://arxiv.org/abs/2505.20301

Sequence-Only Prediction of Binding Affinity Changes: A Robust and Interpretable Model for Antibody Engineering
A pivotal area of research in antibody engineering is to find effective modifications that enhance antibody-antigen binding affinity. Traditional wet-lab experiments assess mutants in a costly and time-consuming manner. Emerging deep learning solutions offer an alternative by modeling antibody structures to predict binding affinity changes. However, they heavily depend on high-quality complex structures, which are frequently unavailable in practice. Therefore, we propose ProtAttBA, a deep learn…

Genus Zero Kashiwara-Vergne Solutions from Braids
Zsuzsanna Dancso, Iva Halacheva, Guillaume Laplante-Anfossi, Marcy Robertson, Chandan Singh
https://arxiv.org/abs/2507.16243

Genus Zero Kashiwara-Vergne Solutions from Braids
Using the language of moperads-monoids in the category of right modules over an operad-we reinterpret the Alekseev-Enriquez-Torossian construction of Kashiwara-Vergne (KV) solutions from associators. We show that any isomorphism between the moperad of parenthesized braids with a frozen strand and the moperad of chord diagrams gives rise to a family of genus zero KV solutions operadically generated by a single classical KV solution. We show that the Grothendieck-Teichmüller module groups act on…

Algebraic independence of solutions to multiple Lotka-Volterra systems
Yutong Duan, Christine Eagles, L\'eo Jimenez
https://arxiv.org/abs/2507.17090 https://

Algebraic independence of solutions to multiple Lotka-Volterra systems
Consider some non-zero complex numbers $a_i, b_i, c_i, d_i$ with $1 \leq i \leq n$ and the associated classical Lotka-Volterra systems \[ \begin{cases} x' = a_i xy + b_i y \newline y' = c_i xy + d_i y \text{ .} \end{cases} \] We show that as long as $b_i \neq d_i$ for all $i$ and $\{ b_i, d_i\} \neq \{ b_j, d_j\}$ for $i \neq j$, any tuples $(x_1,y_1) , \cdots , (x_m,y_m)$ of pairwise distinct, non-degenerate solutions of these systems are algebraically independent over $\mathbb{C}$…

Neural Field Equations and Hawkes processes: long-term stability of traveling wave profiles in the neutral case
Eric Lu\c{c}on (IDP), Christophe Poquet (ICJ)
https://arxiv.org/abs/2507.19236

Neural Field Equations and Hawkes processes: long-term stability of traveling wave profiles in the neutral case
We consider the long-time behavior of a population of interacting Hawkes processes on the real line, with spatial extension. The large population behavior of the system is governed by the standard Voltage-based Neural Field Equation (NFE). We prove long-time stability of the system w.r.t. traveling wave solutions for the NFE on a diffusive time scale, in the neutral case, that is when the speed of the traveling wave solution is zero: the position of the traveling wave profile becomes essentiall…

This https://arxiv.org/abs/2308.01881 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_eco…

The Banks Set and the Bipartisan Set May Be Disjoint
Tournament solutions play an important role within social choice theory and the mathematical social sciences at large. We construct a tournament of order 36 for which the Banks set and the bipartisan set are disjoint. This implies that refinements of the Banks set, such as the minimal extending set and the tournament equilibrium set, can also be disjoint from the bipartisan set.

Climate solutions have widespread support in America, but misinformation is holding us back. #climatechange #climatesolutions #climate

Climate solutions are more popular than you might think
Fossil fuel PR campaigns have misled people into believing that climate solutions are more controversial than they actually are.

Due to a recent post about #friction I've found out about #cinelinux.
Looks like a bilingual Brazilian blog/forum about #VFX and related topics and software solutions on Linux!
They aren'…

Fractional order derivative characterizations of Besov-Morrey type spaces with applications
Chen Lu, Mingjin Li, Jianren Long
https://arxiv.org/abs/2505.20709

Fractional order derivative characterizations of Besov-Morrey type spaces with applications
On the one hand, the fractional order derivative characterization of the Besov-Morrey type space $B_{p}^{K}(s)$ is established by $K$-Carleson measures, and it was also shown that $f \in B_{p}^{K}(s_1) \Leftrightarrow f^{\left(\frac{s_2 - s_1}{p}\right)} \in B_{p}^{K}(s_2)$, which extended the results of Sun et al. on the fractional derivative of Morrey type space. On the other hand, some sufficient conditions for the growth of solutions to linear complex differential equations have been obtain…

Existence of an Infinite Number of Solutions to a Singular Superlinear p-Laplacian Equation on Exterior Domains
Md Suzan Ahamed, Joseph Iaia
https://arxiv.org/abs/2507.18662 htt…

Existence of an Infinite Number of Solutions to a Singular Superlinear p-Laplacian Equation on Exterior Domains
In this paper, we prove the existence of an infinite number of radial solutions of the $p$-$Laplacian$ equation $Δ_p u + K(|x|) f(u) =0$ on the exterior of the ball of radius $R>0$ in ${\mathbb R}^{N}$ such that $u(|x|)\to 0$ as $|x|\to \infty$ where $f$ grows superlinearly at infinity and is singular at $0$ with $f(u) \sim -\frac{1}{|u|^{m-1}u}$ and $0

Archiverse: an Approach for Immersive Cultural Heritage
Wieslaw Kope\'c, Anna Jaskulska, W{\l}adys{\l}aw Fuchs, Wiktor Stawski, Stanis{\l}aw Knapi\'nski, Barbara Karpowicz, Rafa{\l} Mas{\l}yk
https://arxiv.org/abs/2507.19376

Archiverse: an Approach for Immersive Cultural Heritage
Digital technologies and tools have transformed the way we can study cultural heritage and the way we can recreate it digitally. Techniques such as laser scanning, photogrammetry, and a variety of Mixed Reality solutions have enabled researchers to examine cultural objects and artifacts more precisely and from new perspectives. In this part of the panel, we explore how Virtual Reality (VR) and eXtended Reality (XR) can serve as tools to recreate and visualize the remains of historical cultural …

An OpenSource CI/CD Pipeline for Variant-Rich Software-Defined Vehicles
Matthias Wei{\ss}, Anish Navalgund, Johannes St\"umpfle, Falk Dettinger, Michael Weyrich
https://arxiv.org/abs/2507.19446

An OpenSource CI/CD Pipeline for Variant-Rich Software-Defined Vehicles
Software-defined vehicles (SDVs) offer a wide range of connected functionalities, including enhanced driving behavior and fleet management. These features are continuously updated via over-the-air (OTA) mechanisms, resulting in a growing number of software versions and variants due to the diversity of vehicles, cloud/edge environments, and stakeholders involved. The lack of a unified integration environment further complicates development, as connected mobility solutions are often built in isol…

Gaussian estimates for fundamental solutions of higher-order parabolic equations with time-independent coefficients
Guoming Zhang
https://arxiv.org/abs/2507.18898 https://

Gaussian estimates for fundamental solutions of higher-order parabolic equations with time-independent coefficients
We study the De Giorgi-Moser-Nash estimates of higher-order parabolic equations in divergence form with complex-valued, measurable, bounded, uniformly elliptic (in the sense of G$\mathring{a}$rding inequality) and time-independent coefficients. We also obtain Gaussian upper bounds and Hölder regularity estimates for the fundamental solutions of this class of parabolic equations.

Chaos dynamics of charged particles near Gibbons-Maeda-Garfinkle-Horowitz-Strominger black holes
Zhen-Meng Xu, Da-Zhu Ma, Kai Li
https://arxiv.org/abs/2507.18879 https://…

Chaos dynamics of charged particles near Gibbons-Maeda-Garfinkle-Horowitz-Strominger black holes
The Gibbons-Maeda-Garfinkle-Horowitz-Strominger (GMGHS) dilatonic black hole, a key solution in low-energy string theory, exhibits previously unexplored chaotic dynamics for charged test particles under electromagnetic influence. While characterizing such chaos necessitates high-precision numerical solutions, our prior research confirms the explicit symplectic algorithm as the optimal numerical integration tool for strongly curved gravitational celestial systems. Leveraging the Hamiltonian form…

Energy function approximations for differential algebraic polynomial systems of Stokes-type
Hamza Adjerid, Jeff Borggaard
https://arxiv.org/abs/2507.18909 https://

Energy function approximations for differential algebraic polynomial systems of Stokes-type
Energy functions are generalizations of controllability and observability Gramians to nonlinear systems and as such find applications in both nonlinear balanced truncation and feedback control. These energy functions are solutions to the Hamilton-Jacobi-Bellman (HJB) equations partial differential equations defined over spatial dimensions determined by the number of state variables in the nonlinear system. Thus, they cannot be resolved with local basis functions for problems of even modest dime…

Optimal solutions employing an algebraic Variational Multiscale approach Part II: Application to Navier-Stokes
Suyash Shrestha, Marc Gerritsma, Gonzalo Rubio, Steven Hulshoff, Esteban Ferrer
https://arxiv.org/abs/2506.21395

Optimal solutions employing an algebraic Variational Multiscale approach Part II: Application to Navier-Stokes
This work presents a nonlinear extension of the high-order discretisation framework based on the Variational Multiscale (VMS) method previously introduced for steady linear problems. Building on the concept of an optimal projector defined via the symmetric part of the governing operator, we generalise the formulation to treat the 2D incompressible Navier-Stokes equations. The arroach maintains a clear separation between the resolved and unresolved scales, with the fine-scale contributions appro…

Properties for Paths in Graph Databases
Fernando Orejas, Elvira Pino, Renzo Angles, E. Pasarella, Nikos Milonakis
https://arxiv.org/abs/2507.19329 https://…

Properties for Paths in Graph Databases
This paper presents a formalism for defining properties of paths in graph databases, which can be used to restrict the number of solutions to navigational queries. In particular, our formalism allows us to define quantitative properties such as length or accumulated cost, which can be used as query filters. Furthermore, it enables the identification and removal of paths that may be considered ill-formed. The new formalism is defined in terms of an operational semantics for the query language …

On the regularity of solutions to the Hamilton-Jacobi equations for the N-body problem
Diego Berti, Davide Polimeni, Susanna Terracini
https://arxiv.org/abs/2507.19170 https://

Doubly Separable Spacetimes and Symmetry Constraints on their Self-Gravitating Matter Content
Prashant Kocherlakota, Ramesh Narayan
https://arxiv.org/abs/2507.18706 https://

Doubly Separable Spacetimes and Symmetry Constraints on their Self-Gravitating Matter Content
A popular approach to constructing exact stationary and axisymmetric nonvacuum solutions in general relativity has been to use solution-generating techniques. Here we revisit a recent variant of the Newman-Janis-Azreg-Ainou algorithm, restricted to asymptotically-flat spacetimes, and demonstrate that this method exclusively generates Konoplya-Stuchlik-Zhidenko spacetimes. Therefore, the equations for geodesic motion and scalar-wave propagation are both separable. We call these "doubly separable…

Multi-Objective Covariance Matrix Adaptation MAP-Annealing
Shihan Zhao, Stefanos Nikolaidis
https://arxiv.org/abs/2505.20712 https://…

Multi-Objective Covariance Matrix Adaptation MAP-Annealing
Quality-Diversity (QD) optimization is an emerging field that focuses on finding a set of behaviorally diverse and high-quality solutions. While the quality is typically defined w.r.t. a single objective function, recent work on Multi-Objective Quality-Diversity (MOQD) extends QD optimization to simultaneously optimize multiple objective functions. This opens up multi-objective applications for QD, such as generating a diverse set of game maps that maximize difficulty, realism, or other propert…

Frequency Resource Management in 6G User-Centric CFmMIMO: A Hybrid Reinforcement Learning and Metaheuristic Approach
Selina Cheggour, Valeria Loscri
https://arxiv.org/abs/2505.22443

Frequency Resource Management in 6G User-Centric CFmMIMO: A Hybrid Reinforcement Learning and Metaheuristic Approach
As sixth-generation (6G) networks continue to evolve, AI-driven solutions are playing a crucial role in enabling more efficient and adaptive resource management in wireless communication. One of the key innovations in 6G is user-centric cell-free massive Multiple-Input Multiple-Output (UC-CFmMIMO), a paradigm that eliminates traditional cell boundaries and enhances network performance by dynamically assigning access points (APs) to users. This approach is particularly well-suited for vehicular …

Paris-based Zama, which is developing fully homomorphic encryption tech for blockchain and AI apps, raised a $57M Series B at a $1B valuation (Cate Lawrence/Tech.eu)
https://tech.eu/2025/06/25/zama-becomes-1st-i-fhe-unicorn…

Zama becomes 1st fully homomorphic encryption unicorn with $57M raise
French open source cryptography company Zama today announced a $57 million Series B funding round co-led by Blockchange Ventures and Pantera Capital, bringing Zama’s total funding to over $150 million, and its valuation to north of a billion USD.  Founded by Dr Pascal Paillier and Dr Rand Hindi, the company is building state-of-the-art Fully Homomorphic Encryption (FHE) solutions for blockchain. Fully homomorphic encryption (FHE) allows computations to be performed on encrypted data without…

We're thrilled to announce that Bloomberg Engineering is once again joining us as a Recording Partner!
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This https://arxiv.org/abs/2306.02206 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qbi…

Mitigating Molecular Aggregation in Drug Discovery with Predictive Insights from Explainable AI
Herein, we present the application of MEGAN, our explainable AI (xAI) model, for the identification of small colloidally aggregating molecules (SCAMs). This work offers solutions to the long-standing problem of false positives caused by SCAMs in high throughput screening for drug discovery and demonstrates the power of xAI in the classification of molecular properties that are not chemically intuitive based on our current understanding. We leverage xAI insights and molecular counterfactuals to …

The Impact of AI-Generated Solutions on Software Architecture and Productivity: Results from a Survey Study
Giorgio Amasanti, Jasmin Jahic
https://arxiv.org/abs/2506.17833

The Impact of AI-Generated Solutions on Software Architecture and Productivity: Results from a Survey Study
AI-powered software tools are widely used to assist software engineers. However, there is still a need to understand the productivity benefits of such tools for software engineers. In addition to short-term benefits, there is a question of how adopting AI-generated solutions affects the quality of software over time (e.g., maintainability and extendability). To provide some insight on these questions, we conducted a survey among software practitioners who use AI tools. Based on the data colle…

Kalb-Ramond Black Holes Sourced by ModMax Electrodynamics: Some Perturbative Properties in the Phantom Sector
Y. Sekhmani, A. Baruah, S. K. Maurya, J. Rayimbaev, M. Altanji, I. Ibragimov, S. Muminov
https://arxiv.org/abs/2507.19088

Kalb-Ramond Black Holes Sourced by ModMax Electrodynamics: Some Perturbative Properties in the Phantom Sector
We formulate and analyze a new class of electrically charged black hole (BH) solutions in Lorentz-violating gravity, where nonlinear ModMax electrodynamics is nonminimally coupled to a Kalb-Ramond (KR) two-form field. The spontaneous breaking of local Lorentz symmetry is triggered by a nonzero vacuum expectation value of the KR field, characterized by a small dimensionless parameter $\ell$. To incorporate both standard and phantom sectors, we introduce a discrete sign-flip parameter $ζ= \pm1$,…

On the asymptotic properties of solutions to a nonlinear transmission problem for a Bresse beam with thermal damping
Tamara Fastovska, Dirk Langemann
https://arxiv.org/abs/2507.19297

On the asymptotic properties of solutions to a nonlinear transmission problem for a Bresse beam with thermal damping
A nonlinear transmission problem for an arch beam, which consists of two parts with different material properties is considered. One of the parts is subjected to thermal damping while another one is undamped. The thermal damping affects only the shear angle and the longitudinal equation within the damped part, which can have any positive length. We prove the well-posedness of the system in the energy space and establish the existence of a compact global attractor under certain conditions impose…

Hybrid Wave-wind System Power Optimisation Using Effective Ensemble Covariance Matrix Adaptation Evolutionary Algorithm
Mehdi Neshat, Nataliia Y. Sergiienko, Leandro S. P. da Silva, Seyedali Mirjalili, Amir H. Gandomi, Ossama Abdelkhalik, John Boland
https://arxiv.org/abs/2505.20720

Hybrid Wave-wind System Power Optimisation Using Effective Ensemble Covariance Matrix Adaptation Evolutionary Algorithm
Floating hybrid wind-wave systems combine offshore wind platforms with wave energy converters (WECs) to create cost-effective and reliable energy solutions. Adequately designed and tuned WECs are essential to avoid unwanted loads disrupting turbine motion while efficiently harvesting wave energy. These systems diversify energy sources, enhancing energy security and reducing supply risks while providing a more consistent power output by smoothing energy production variability. However, optimisin…

Symmetry-reduced model reduction of shift-equivariant systems via operator inference
Yu Shuai, Clarence W. Rowley
https://arxiv.org/abs/2507.18780 https://…

Symmetry-reduced model reduction of shift-equivariant systems via operator inference
We consider data-driven reduced-order models of partial differential equations with shift equivariance. Shift-equivariant systems typically admit traveling solutions, and the main idea of our approach is to represent the solution in a traveling reference frame, in which it can be described by a relatively small number of basis functions. Existing methods for operator inference allow one to approximate a reduced-order model directly from data, without knowledge of the full-order dynamics. Our me…

Streaming Remote rendering services: Comparison of QUIC-based and WebRTC Protocols
Daniel Mej\'ias, Inhar Yeregui, \'Angel Mart\'in, Roberto Viola, Pablo Angueira, Jon Montalb\'an
https://arxiv.org/abs/2505.22132

Streaming Remote rendering services: Comparison of QUIC-based and WebRTC Protocols
The proliferation of Extended Reality (XR) applications, requiring high-quality, low-latency media streaming, has driven the demand for efficient remote rendering solutions. This paper focuses on holographic conferencing in virtual environments and their required uplink and downlink media transmission capabilities. By examining Media over QUIC (MoQ), Real-time Transport Protocol (RTP) over QUIC (RoQ), and Web Real-Time Communication (WebRTC), we assess their latency performance over Wi-Fi and 5…

Some of Vegas’ iconic casinos, convention centers and hotels
— and thousands of households across the city, too
— are using the sun to save money and better the planet’s odds at tackling climate change.
https://www.nytimes…

50 States, 50 Fixes
A series about local solutions, and the people behind them, to environmental problems.

Schr\"odinger-Bopp-Podolsky system with sublinear and critical nonlinearities: solutions at negative energy levels and asymptotic behaviour
Heydy M. Santos Damian, Gaetano Siciliano
https://arxiv.org/abs/2507.19444

Schrödinger-Bopp-Podolsky system with sublinear and critical nonlinearities: solutions at negative energy levels and asymptotic behaviour
We consider the following Schrödinger-Bopp-Podolsky system with critical and sublinear terms \begin{equation*} \begin{cases} - Δu+ u+Q(x)ϕu= \vert u\vert^4 u+ λK(x)\vert u \vert^{p-1}u&\mbox{ in }\ \mathbb{R}^3 \smallskip - Δϕ+ a^{2}Δ^{2} ϕ= 4πQ(x) u^{2}& \mbox{ in }\ \mathbb{R}^3. \end{cases} \end{equation*} Here $u,ϕ:\mathbb {R}^{3}\rightarrow \mathbb{R}$ are the unknowns, $Q$ and $K$ are given functions satisfying mild assumptions, $a\geq0, λ>0$ are parameters and $p\in (0,1)$…

Confining kinks. $\zeta$-regularized one-loop kink mass shifts in exotic field theories
Luis Inzunza, Juan Mateos Guilarte, Pablo Pais
https://arxiv.org/abs/2506.20440

Confining kinks. $ζ$-regularized one-loop kink mass shifts in exotic field theories
By combining stability analysis of scalar field theories with the Darboux transformation technique, we create models featuring kink-like solutions whose quantum perturbations are all bounded. On the one hand, the stability analysis relates scalar theories with Schrödinger equations, whose solutions serve as quantum perturbation modes. On the other hand, the Darboux transformation allows for constructing new exotic but solvable Schrödinger equations. This framework relates the quantum harmonic…

Short-Range Approximation to Casimir Wormholes Inspired by Scalar and Electric Fields
Remo Garattini, Athanasios G. Tzikas
https://arxiv.org/abs/2507.19134 https://

Short-Range Approximation to Casimir Wormholes Inspired by Scalar and Electric Fields
We investigate a static traversable wormhole sustained by a combination of a minimally coupled scalar field and an electric field, with exotic matter sourced by Casimir energy. Considering two scenarios, where the Casimir plate separation is either radially variable or fixed, we derive analytical near-throat solutions for both massless and massive scalar fields. To ensure consistency of the field equations, a thermal tensor is also incorporated, consisting solely of pressure terms that vanish a…

Hybrid Wave-wind System Power Optimisation Using Effective Ensemble Covariance Matrix Adaptation Evolutionary Algorithm
Mehdi Neshat, Nataliia Y. Sergiienko, Leandro S. P. da Silva, Seyedali Mirjalili, Amir H. Gandomi, Ossama Abdelkhalik, John Boland
https://arxiv.org/abs/2505.20720

Hybrid Wave-wind System Power Optimisation Using Effective Ensemble Covariance Matrix Adaptation Evolutionary Algorithm
Floating hybrid wind-wave systems combine offshore wind platforms with wave energy converters (WECs) to create cost-effective and reliable energy solutions. Adequately designed and tuned WECs are essential to avoid unwanted loads disrupting turbine motion while efficiently harvesting wave energy. These systems diversify energy sources, enhancing energy security and reducing supply risks while providing a more consistent power output by smoothing energy production variability. However, optimisin…

A priori estimates of stable solutions of the general Hardy-Henon equation in the ball
J. Silverio Martinez-Baena, Salvador Villegas
https://arxiv.org/abs/2506.21515

A priori estimates of stable solutions of the general Hardy-Henon equation in the ball
This paper is devoted to the study of semi-stable radial solutions $u\in H^1(B_1)$ of $-Δu=\vert x\vert^αf(u) \mbox{ in } B_1\setminus\lbrace0\rbrace$, where $f\in C^1(\mathbb{R})$ is a general nonlinearity, $α>-2$ and $B_1$ is the unit ball of $\mathbb{R}^N$, $N>1$. We establish the boudness of such solutions for dimensions $2\leq N<10+4α$ and sharp pointwise estimates in the case $N\geq10+4α$. In addition, we provide, for this range of dimensions, a large family of semi-stable radially d…

Collaborative Agentic AI Needs Interoperability Across Ecosystems
Rishi Sharma, Martijn de Vos, Pradyumna Chari, Ramesh Raskar, Anne-Marie Kermarrec
https://arxiv.org/abs/2505.21550

Collaborative Agentic AI Needs Interoperability Across Ecosystems
Collaborative agentic AI is projected to transform entire industries by enabling AI-powered agents to autonomously perceive, plan, and act within digital environments. Yet, current solutions in this field are all built in isolation, and we are rapidly heading toward a landscape of fragmented, incompatible ecosystems. In this position paper, we argue that interoperability, achieved by the adoption of minimal standards, is essential to ensure open, secure, web-scale, and widely-adopted agentic ec…

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A priori H\"older estimates for equations degenerating on nodal sets
Susanna Terracini, Giorgio Tortone, Stefano Vita
https://arxiv.org/abs/2507.18991 https://

A priori Hölder estimates for equations degenerating on nodal sets
We prove a priori Hölder bounds for continuous solutions to degenerate equations with variable coefficients of type $$ \mathrm{div}\left(u^2 A\nabla w\right)=0\quad\mathrm{in \ }Ω\subset\mathbb R^n,\qquad \mbox{with}\qquad \mathrm{div}\left(A\nabla u\right)=0, $$ where $A$ is a Lipschitz continuous, uniformly elliptic matrix (possibly $u$ has non-trivial singular nodal set). Such estimates are uniform with respect to $u$ in a class of normalized solutions that have a bounded Almgren frequency…

Two-sided NED black-hole, naked-singularity, and soliton solutions
Mustapha Azreg-A\"inou
https://arxiv.org/abs/2506.18080 https://

Two-sided NED black-hole, naked-singularity, and soliton solutions
We consider non-linear electrodynamics (NED) minimally coupled to general relativity. We derive novel electrically charged, spherically symmetric, black-hole solutions having, for some set of parameters, all their NED fields (the electric field and the square of the electromagnetic field) regular for all values of the radial coordinate. For another set of parameters, the NED fields and the Kretschmann scalar are regular as the radial coordinate runs from one spatial infinity to another spatial …

Normalized solutions for the NLS equation with mixed fractional Laplacians and combined nonlinearities
Shubin Yu, Chen Yang, Chun-Lei Tang
https://arxiv.org/abs/2506.20943

Normalized solutions for the NLS equation with mixed fractional Laplacians and combined nonlinearities
We look for normalized solutions to the nonlinear Schrödinger equation with mixed fractional Laplacians and combined nonlinearities $$ \left\{\begin{array}{ll} (-Δ)^{s_{1}} u+(-Δ)^{s_{2}} u=λu+μ|u|^{q-2}u+|u|^{p-2}u \ \text{in}\;{\mathbb{R}^{N}}, \\[0.1cm] \int_{\mathbb{R}^{N}}|u|^2\mathrm dx=a^2, \end{array} \right. $$ where $N\geq 2,\;00$ and $λ\in\mathbb R$ appears as an unknown Lagrange multiplier. We mainly focus on some special cases, inc…

LQG inspired spacetimes as solutions of the Einstein equations
Marcos V. de S. Silva, Carlos F. S. Pereira, G. Alencar, Celio R. Muniz
https://arxiv.org/abs/2506.19818

LQG inspired spacetimes as solutions of the Einstein equations
Black bounces are compact objects with a wormhole structure hidden behind an event horizon. This type of metric can be obtained through general relativity by considering the presence of exotic matter. Such spacetimes can also arise within the framework of effective theories inspired by loop quantum gravity. In this work, we verify the possibility of obtaining black bounce models inspired by loop quantum gravity as solutions of general relativity. For this, we examine which sources can generate …

Asymptotic stability of solutions to semilinear evolution equations in Banach spaces
Francesco Cellarosi, Anirban Dutta, Giusy Mazzone
https://arxiv.org/abs/2506.21437

Asymptotic stability of solutions to semilinear evolution equations in Banach spaces
We prove a new linearization principle for the nonlinear stability of solutions to semilinear evolution equations of parabolic type. We assume that the set of equilibria forms a finite dimensional manifold of normally stable and normally hyperbolic equilibria. In addition, we assume that the linearized operator is the generator of an analytic semigroup (not necessarily stable). We show that if a mild solution to our evolution equation exists globally in time and remains ``close'' to the manifol…

Strong time regularity and decay of $L^\infty$ solutions to $2\times 2$ systems of conservation laws
Luca Talamini
https://arxiv.org/abs/2507.18427 https://

Strong time regularity and decay of $L^\infty$ solutions to $2\times 2$ systems of conservation laws
We consider $\mathbf L^\infty$ solutions to $2\times 2$ systems of conservation laws. For genuinely nonlinear systems we prove that finite entropy solutions (in particular entropy solutions, if a uniformly convex entropy exists) belong to $C^0(\mathbb R^+; \mathbf L^1_{loc}(\mathbb R))$. Our second result establishes a dispersive-type decay estimate for vanishing viscosity solutions. Both results are unified by the use of a kinetic formulation.

Dimension of the isometry group in type N vacuum solutions: an IDEAL approach
Juan Antonio S\'aez, Salvador Mengual, Joan Josep Ferrando
https://arxiv.org/abs/2506.20427

Dimension of the isometry group in type N vacuum solutions: an IDEAL approach
The necessary and sufficient conditions for a type N vacuum solution (with cosmological constant) to admit a group of isometries of dimension $r$ are given in terms of the invariant concomitants of the Weyl tensor. This study requires defining several invariant classes, and for each class, the conditions that determine the dimension are given. Thus, an IDEAL (Intrinsic, Deductive, Explicit and ALgorithmic) characterisation of these spacetimes follows. Some examples show that our algorithmic res…

Axisymmetric self-similar solutions to the MHD equations without magnetic diffusion
Shaoheng Zhang
https://arxiv.org/abs/2506.20131 https://

Axisymmetric self-similar solutions to the MHD equations without magnetic diffusion
We study the axisymmetric self-similar solutions $(\mathbf{u},\mathbf{B})$ to the stationary MHD equations without magnetic diffusion, where $\mathbf{B}$ has only the swirl component. Our first result states that in $\mathbb{R}^3\setminus\{0\}$, $\mathbf{u}$ is a Landau solution and $\mathbf{B}=0$. Our second result proves the triviality of axisymmetric self-similar solutions in the half-space $\mathbb{R}^3_+$ with the no-slip boundary condition or the Navier slip boundary condition.

On solutions to Hardy-Sobolev equations on Riemannian manifolds
Guillermo Henry, Jimmy Petean
https://arxiv.org/abs/2506.20089 https://

On solutions to Hardy-Sobolev equations on Riemannian manifolds
Let $(M,g)$ be a closed Riemannian manifold of dimension at least $3$. Let $S$ be the union of the focal submanifolds of an isoparametric function on $(M,g)$. In this article we address the existence of solutions of the Hardy-Sobolev type equation $Δ_g u+K(x)u=\frac{u^{q-1}}{\left(d_{S}(x)\right)^s}$, where $d_{S}(x)$ is the distance from $x$ to $S$ and $q>2$. In particular, we will prove the existence of infinite sign-changing solutions to the equation.

Log-concavity and anti-maximum principles for semilinear and linear elliptic equations
Fran\c{c}ois Hamel (I2M), Nikolai Nadirashvili (I2M)
https://arxiv.org/abs/2506.20250

Log-concavity and anti-maximum principles for semilinear and linear elliptic equations
This paper is concerned with existence and qualitative properties of positive solutions of semilinear elliptic equations in bounded domains with Dirichlet boundary conditions. We show the existence of positive solutions in the vicinity of the linear equation and the log-concavity of the solutions when the domain is strictly convex. We also review the standard results on the log-concavity or the more general quasi-concavity of solutions of elliptic equations. The existence and other convergence …

Asymptotic Analysis of Boundary Layer Solutions to Poisson-Boltzmann Type Equations in General Bounded Smooth Domains
Jhih-Hong Lyu, Tai-Chia Lin
https://arxiv.org/abs/2506.20953 …

Asymptotic Analysis of Boundary Layer Solutions to Poisson-Boltzmann Type Equations in General Bounded Smooth Domains
We study the boundary layer solution to singular perturbation problems involving Poisson-Boltzmann (PB) type equations with a small parameter $ε$ in general bounded smooth domains (including multiply connected domains) under the Robin boundary condition. The PB type equations include the classical PB, modified PB and charge-conserving PB (CCPB) equations, which are mathematical models for the electric potential and ion distributions. The CCPB equations present particular analytical challenges …

Normalized solutions for Choquard equations with critical nonlinearities on bounded domains
Ru Yan
https://arxiv.org/abs/2506.19872 https://

Normalized solutions for Choquard equations with critical nonlinearities on bounded domains
The aim of this work is the study of the existence of normalized solutions to the nonlinear Schrödinger equation with nonlocal nonlinearities: \begin{equation}\nonumber \left\{\begin{aligned} &-Δu =λu+(I_α*|u|^{2_α^*})|u|^{2_α^*-2}u+a(I_α*|u|^p)|u|^{p-2}u,\ x\inΩ, &u>0\ \text {in}\ Ω,\ u=0\ \text {on}\ \partial Ω,\ \int _Ω|u|^2dx=c, \end{aligned} \right. \end{equation} where $c>0,\ α\in (0,N),\ \frac{N+α+2}{N}

Existence of smooth solutions of the Navier-Stokes equations in three-dimensional Euclidean space
Genqian Liu
https://arxiv.org/abs/2507.18063 https://arxi…

Existence of smooth solutions of the Navier-Stokes equations in three-dimensional Euclidean space
Based on the essential connection of the parabolic inertia Lamé equations and Navier-Stokes equations, we prove the existence of smooth solutions of the incompressible Navier-Stokes equations in three-dimensional Euclidean space $\mathbb{R}^3$ by showing the existence and uniqueness of smooth solutions of the parabolic inertia Lamé equations and by letting a Lamé constant $λ$ tends to infinity (the other Lamé constant $μ>0$ is fixed).

Fundamental Solutions of the Logarithmic Laplacian: An Approach via the Division Problem
David Lee
https://arxiv.org/abs/2506.20121 https://

Fundamental Solutions of the Logarithmic Laplacian: An Approach via the Division Problem
Existence of the fundamental solution of the logarithmic Laplacian (in dimensions $d \geq 3$) was established by Huyuan Chen and Laurent Véron (2024). In this note, we present an alternative approach, based on a modification on the classical division problem. This is inspired by the theory of fundamental solutions by Malgrange and Ehrenpreis. Moreover, we give a variant of the Liouville theorem for the logarithmic Laplacian and give some further clarification regarding a conjecture posed by Ch…

Existence and nonexistence of sign-changing solutions for linearly perturbed superlinear equations on exterior domains
Md Suzan Ahamed, Joseph Iaia
https://arxiv.org/abs/2507.17863

Existence and nonexistence of sign-changing solutions for linearly perturbed superlinear equations on exterior domains
In this paper, we study radial solutions of $Δu + K(|x|) f(u)+\frac{ (N-2)^2 u}{|x|^{2+(N-2)δ}} =0, \ 0<δ<2$ in the exterior of the ball of radius $R>0$ in ${\mathbb R}^{N}$ where $f$ grows superlinearly at infinity and is singular at $0$ with $f(u) \sim -\frac{1}{|u|^{q-1}u}$ and $0

Singular limits of anisotropic weak solutions to compressible magnetohydrodynamics
Nicolas Besse, Christophe Cheverry
https://arxiv.org/abs/2506.19784 http…

Singular limits of anisotropic weak solutions to compressible magnetohydrodynamics
The aim is to justify rigorously the so-called reduced magnetohydrodynamic model (abbreviated as RMHD), which is widely used in fusion, space and astrophysical plasmas. Motivated by physics, the focus is on plasmas that are simultaneously strongly magnetized and anisotropic. We consider conducting fluids that can be described by viscous and resistive barotropic compressible magnetohydrodynamic equations. The purpose is to study the asymptotic behaviour of global weak solutions, which do exist, …

Asymptotic estimates for solutions of inhomogeneous non-divergence diffusion equations with drifts
Luan Hoang, Akif Ibragimov
https://arxiv.org/abs/2506.19059

Asymptotic estimates for solutions of inhomogeneous non-divergence diffusion equations with drifts
We study the long-time dynamics of the nonlinear processes modeled by diffusion-transport partial differential equations in non-divergence form with drifts. The solutions are subject to some inhomogeneous Dirichlet boundary condition. Starting with the reduced linear problem, we obtain the asymptotic estimates for the solutions, as time $t\to\infty$, depending on the asymptotic behavior of the forcing term and boundary data. These are established in both cases when the drifts are uniformly boun…

Revisiting the blow-up criterion and the maximal existence time for solutions of the parabolic-elliptic Keller-Segel system in 2d-Euclidean space
Patrick Maheux, Vittoria Pierfelice
https://arxiv.org/abs/2506.19582

Revisiting the blow-up criterion and the maximal existence time for solutions of the parabolic-elliptic Keller-Segel system in 2d-Euclidean space
In this paper, we revisit the blow-up criteria for the simplest parabolic-elliptic (PKS) system in the 2D Euclidean space, including a consumption term. In the supercritical mass case M > 8pi, and under an additional global assumption on the second moment (or variance) of the initial data, we establish blow-up results for a broader class of initial conditions than those traditionally considered. We also derive improved upper bounds for the maximal existence time of (PKS) solutions on the plane.…

Fully nonlinear parabolic fixed transmission problems
David Jesus, Mar\'ia Soria-Carro
https://arxiv.org/abs/2507.19277 https://arxiv.org/pdf/2507.1927…

Fully nonlinear parabolic fixed transmission problems
We consider transmission problems for parabolic equations governed by distinct fully nonlinear operators on each side of a time-dependent interface. We prove that if the interface is $C^{1,α}$, in the parabolic sense, then viscosity solutions are piecewise $C^{1,α}$ up to the interface. As byproducts, we obtain a new ABP-Krylov-Tso estimate, and establish existence, uniqueness, a comparison principle, and regularity results for the flat interface problem.

Solving Mean-Field Games with Monotonicity Methods in Banach Spaces?
Rita Ferreira, Diogo Gomes, Melih Ucer
https://arxiv.org/abs/2506.21212 https://

Solving Mean-Field Games with Monotonicity Methods in Banach Spaces?
This paper develops a unified framework for proving the existence of solutions to stationary first-order mean-field games (MFGs) based on the theory of monotone operators in Banach spaces. We cast the coupled MFG system as a variational inequality, overcoming the limitations of prior Hilbert-space approaches that relied on high-order regularization and typically yielded only weak solutions in the monotone operator sense. In contrast, with our low-order regularization, we obtain strong solutions…

Replaced article(s) found for math.AP. https://arxiv.org/list/math.AP/new
[1/1]:
- Quasiperiodic solutions of the generalized SQG equation
Javier G\'omez-Serrano, Alexandru D. Ionescu, Jaemin Park

A Wave-type Model for Age- and Space-structured Epidemics
Nicolas Schlosser
https://arxiv.org/abs/2507.19252 https://arxiv.org/pdf/2507.19252

A Wave-type Model for Age- and Space-structured Epidemics
We introduce a novel approach of epidemic modeling by combining age-structured models with damped wave equations. This transforms the parabolic-type reaction-diffusion model into a hyperbolic system that shares many properties with a wave or telegrapher's equation. After we establish the existence of a weak solution of the resulting partial differential equation by means of characteristics, we show that the solutions to the new model converge to a solution of the standard age-dependent reaction…