Tootfinder

Normalized solutions of coupled Sobolev critical Schrodinger equations with mass subcritical couplings
Zhang Jianjun, Zhong Xuexiu, Zhou Jinfang
https://arxiv.org/abs/2507.13163

Normalized solutions of coupled Sobolev critical Schrodinger equations with mass subcritical couplings
We are concerned with qualitative properties of positive solutions to the following coupled Sobolev critical Schrödinger equations $$ \begin{cases} -Δu+λ_1 u=μ_1|u|^{2^*-2}u+να|u|^{α-2}|v|^βu ~\hbox{in}~ \R^N,\\ -Δv+λ_2 v=μ_2|v|^{2^*-2}v+νβ|u|^α|v|^{β-2}v ~\hbox{in}~ \R^N \end{cases} $$ subject to the mass constraints $\int_{\mathbb{R}^N}|u|^2 \ud x=a^2$ and $\int_{\mathbb{R}^N}|v|^2 \ud x=b^2$, where…

Bar-driven Streaming Motions Mimic a Massive Bulge in the Inner Milky Way
Junichi Baba (Kagoshima U./NAOJ)
https://arxiv.org/abs/2507.12702 https://…

Bar-driven Streaming Motions Mimic a Massive Bulge in the Inner Milky Way
The circular speed curve of the Milky Way provides a key constraint on its mass distribution, reflecting the axisymmetric component of the gravitational potential. This is especially critical in the inner Galaxy ($R \lesssim 4$ kpc), where non-axisymmetric structures such as the stellar bar and nuclear stellar disk strongly influence dynamics. However, significant discrepancies remain between circular speed curves inferred from stellar dynamical modeling and those derived from the terminal-velo…

Multiple normalized solutions for two coupled Gross-Pitaevskii equations with attractive interactions and mass constriants
Zhang Jianjun, Zhong Xuexiu, Zhou Jinfang
https://arxiv.org/abs/2507.13172

Multiple normalized solutions for two coupled Gross-Pitaevskii equations with attractive interactions and mass constriants
We are concerned with the following system of two coupled time-independent Gross-Pitaevskii equations $$ \begin{cases} -Δu+λ_1 u=μ_1|u|^{p-2}u+να|u|^{α-2}|v|^βu ~\hbox{in}~ \R^N,\\ -Δv+λ_2 v=μ_2|v|^{q-2}v+νβ|u|^α|v|^{β-2}v ~\hbox{in}~ \R^N, \end{cases} $$ which arises in two-components Bose-Einstein condensates and involve attractive Sobolev subcritical or critical interactions, i. e., $ν>0$ and $α+β\leq 2^*$. This sys…

I wrote up a longer post about a bike riding group and how we use the web... along with some of my own thoughts on how to do it.
Feedback and ideas are welcome!
➡️ https://rasterweb.net/raster/2025/05/31/milwaukee-critical-mass-web-site/

Milwaukee Critical Mass Web Site
Thoughts on how we use the web in 2025...

Deflection of light and time delay in hyperbolic Einstein-Straus--de Sitter solution
Mourad Guenouche
https://arxiv.org/abs/2507.11792 https://

Deflection of light and time delay in hyperbolic Einstein-Straus--de Sitter solution
We analyze strong gravitational lensing by a spherically symmetric mass distribution within the Einstein-Straus-de Sitter framework in a spatially open Universe with negative curvature ($k = -1$). Applying the theory to the lensed quasar SDSS J1004+4112, we identify a critical threshold for the current scale factor $a_0$ of approximately $2.6 \times 10^{27}$ m, below which the effects of negative spatial curvature on lensing observables become significant, corresponding to a current curvature d…

Locating the QCD critical point with neutron-star observations
Christian Ecker, Niko Jokela, Matti J\"arvinen
https://arxiv.org/abs/2506.10065 https:/…

Locating the QCD critical point with neutron-star observations
We present a probabilistic model for the QCD critical endpoint (CEP) and the equation of state (EOS) at $β$-equilibrium, constrained by neutron-star observations. Using a hybrid framework that combines the holographic V-QCD model with an effective van der Waals description of nuclear matter, we generate a large ensemble of EOSs incorporating nuclear theory uncertainties. Constraining this ensemble with neutron-star mass-radius data and tidal deformability measurements from gravitational waves,…

As always: #ACAB. And especially fuckers who lead your local PD, even if they come from other departments (like sanitation). https://nyc.streetsblog.org/2025/05/30

Ukraine announced on June 13 that its short-range Sapsan ballistic missile would go into mass production
-- a major development in Kyiv's ongoing efforts to domestically produce the weapons it needs to fight Russia's full-scale invasion.
As Ukraine faces growing challenges in securing weapons from Western partners, and Russia continues launching drone and missile strikes on civilians, the development of Ukraine’s missile production is seen as a critical step toward strength…

Tired of military aid delays, Ukraine has designed its own ballistic missile — and it’s already in mass-production
Ukraine announced on June 13 that it's short-range Sapsan ballistic missile would go into mass production, a major development in Kyiv's ongoing efforts to domestically produce the weapons it needs to fight Russia's full-scale invasion. As Ukraine faces growing challenges in securing weapons from Western partners, and Russia continues launching drone and missile strikes on civilians, the development of Ukraine’s missile production is seen as a critical step toward strengthening its defense c…

Heute ist wieder letzter Freitag im Monat: #CriticalMass-Tag \o/
Infos u.a. auf https://criticalmass.in

Heute abend #CriticalMass Fahrraddemo in #BietigheimBissingen Treffpunkt Festplatz am Viadukt.
https://www.

An Exact Moment-Based Approach for Chemical Reaction-Diffusion Networks: From Mass Action to Hill Functions
Manuel Eduardo Hern\'andez-Garc\'ia, Eduardo Moreno-Barbosa, Jorge Vel\'azquez-Castro
https://arxiv.org/abs/2505.09053

An Exact Moment-Based Approach for Chemical Reaction-Diffusion Networks: From Mass Action to Hill Functions
Biochemical systems are inherently stochastic, particularly those with small-molecule populations. The spatial distribution of molecules plays a critical role and requires the inclusion of spatial coordinates in their analysis. Stochastic models such as the chemical master equation are commonly used to study these systems. However, analytical solutions are limited to specific cases, and stochastic simulations require significant computational resources. To mitigate these challenges, approximati…

Someone mentioned the "awesome" web site for Milwaukee Critical Mass, but I think they may have been taking the piss...
But honestly, I'd rather see this than an overdone 'full of shit' web site with too much.
As it is, it gives the basic info. Sometimes that's all you need.
Although (sigh) it looks like it hasn't been updated since April.
➡️

An elementary method to determine the critical mass of a sphere of fissile material based on a separation of neutron transport and nuclear reaction processes
Steven K. Lamoreaux
https://arxiv.org/abs/2506.06927

An elementary method to determine the critical mass of a sphere of fissile material based on a separation of neutron transport and nuclear reaction processes
A simplified method to calculate the critical mass of a fissile material sphere is presented. This is a purely pedagogical study, in part to elucidate the historical evolution of criticality calculations. This method employs only elementary calculus and straightforward statistical arguments by formulating the problem in terms of the threshold condition that the number of neutrons in the sphere does not change with time; the average neutron path length in the material must be long enough to prod…

Modeling Uncertainties on the Z Boson Background in the Context of High Precision W Boson Mass Measurements
Maarten Boonekamp, Matthias Schott, Chen Wang
https://arxiv.org/abs/2507.07835

Modeling Uncertainties on the Z Boson Background in the Context of High Precision W Boson Mass Measurements
The precise determination of the $W$ boson mass, $m_W$, is a cornerstone of electroweak precision tests and a critical input to global fits of the Standard Model (SM). While most existing measurements of $m_W$ are in agreement with SM predictions, the recent result from the CDF collaboration exhibits a significant deviation from the SM prediction but also exceeding $4σ$ from the global average of all other high precision measurements. This prompts renewed scrutiny of potential sources of syste…

Dynamics of low-mass black hole seeds in the BRAHMA simulations using subgrid-dynamical friction: Impact on merger-driven black hole growth in the high redshift Universe
Aklant K. Bhowmick, Laura Blecha, Luke Z. Kelley, Aneesh Sivasankaran, Paul Torrey, Rainer Weinberger, Nianyi Chen, Mark Vogelsberger, Lars Hernquist, Priyamvada Natarajan
https://…

Dynamics of low-mass black hole seeds in the BRAHMA simulations using subgrid-dynamical friction: Impact on merger-driven black hole growth in the high redshift Universe
We analyze the dynamics of low-mass black hole (BH) seeds in the high-redshift ($z\gtrsim5$) Universe using a suite of $[4.5~\mathrm{Mpc}]^3$ and $[9~\mathrm{Mpc}]^3$ BRAHMA cosmological hydrodynamic simulations. The simulations form seeds with mass $M_{\mathrm{seed}}=2.2\times10^3~M_{\odot}$ in halos that exceed critical thresholds of dense & metal-poor gas mass ($5-150~M_{\mathrm{seed}}$) and the halo mass ($1000-10000~M_{\mathrm{seed}}$). While the initial BRAHMA boxes pinned the BHs to the …

On the sharp critical mass threshold for the 3D Patlak-Keller-Segel-Navier-Stokes system via Couette flow
Shikun Cui, Lili Wang, Wendong Wang, Juncheng Wei
https://arxiv.org/abs/2506.10578

On the sharp critical mass threshold for the 3D Patlak-Keller-Segel-Navier-Stokes system via Couette flow
As is well-known, the solution of the Patlak-Keller-Segel system in 3D may blow up in finite time regardless of any initial cell mass. In this paper, we are interested in the suppression of blow-up and the critical mass threshold for the 3D Patlak-Keller-Segel-Navier-Stokes system via the Couette flow $(Ay, 0, 0)$. It is proved that if the Couette flow is sufficiently strong ($A$ is large enough), then the solutions for the system are global in time in the periodic domain $(x,y,z)\in\mathbb{T}^…

Critical Metallicity of Cool Supergiant Formation. II. Physical Origin
Po-Sheng Ou, Ke-Jung Chen
https://arxiv.org/abs/2506.01753 https://

Critical Metallicity of Cool Supergiant Formation. II. Physical Origin
This study investigates the physical origin of the critical metallicity ($Z_{\rm c}\sim 0.001$) required for the formation of cool supergiants, as revealed by stellar evolution models. Using model grids that vary in mass, metallicity, opacity, and nuclear reaction rates, we identify a threshold terminal-age main-sequence (TAMS) radius ($R_{\rm T}$) that determines whether a star of a given mass can evolve into the red supergiant (RSG) phase. Through stellar models and homology relations, we sho…

Light Dark Matter Detection with Sub-eV Transition-Edge Sensors
Muping Chen, Volodymyr Takhistov, Kazunori Nakayama, Kaori Hattori
https://arxiv.org/abs/2506.10070

Light Dark Matter Detection with Sub-eV Transition-Edge Sensors
We present a comprehensive analysis of high-resolution transition-edge sensors (TESs) as a quantum sensing platform for detecting dark matter (DM). Operating near the thermodynamic noise limit with sub-eV energy resolution, TESs offer a powerful approach for probing light DM in the sub-GeV mass range. Optical TESs, realized on superconducting films with critical temperatures below 150 mK, achieve energy thresholds below 100 meV and enable precise calorimetric detection of individual energy depo…

Oscillations of hypothetical strange stars as an efficient source ultra-high-energy particles
Joanna Ja{\l}ocha, {\L}ukasz Bratek
https://arxiv.org/abs/2507.10617

Oscillations of hypothetical strange stars as an efficient source ultra-high-energy particles
We investigate the dynamical behavior of strange quark matter (SQM) objects, such as stars and planets, when subjected to radial oscillations induced by tidal interactions in stellar systems. Our study demonstrates that SQM objects can efficiently convert mechanical energy into hadronic energy due to the critical mass density at their surfaces of 4.7*10^{14} g/cm^3, below which SQM becomes unstable and decays into photons, hadrons, and leptons. We show that even small-amplitude radial oscillati…

As always: #ACAB. And especially fuckers who lead your local PD, even if they come from other departments (like sanitation). https://nyc.streetsblog.org/2025/05/30

trotz Regen waren noch einige hundert Menschen mit ihren Rädern bei der #CriticalMass heute in #Stuttgart!
@…

The role of young and evolved stars in the heating of dust in local galaxies
Vidhi Tailor, Viviana Casasola, Francesca Pozzi, Francesco Calura, Simone Bianchi, Monica Relano, Jacopo Fritz, Fr\'ed\'eric Galliano, Matteo Bonato, Maritza A. Lara-L\'opez, Evangelos Dimitrios Paspaliaris, Alberto Traina
https://arxiv.org/…

The role of young and evolved stars in the heating of dust in local galaxies
Context. Dust is a fundamental component of the interstellar medium (ISM) and plays a critical role in galaxy evolution. Dust grains influence the ISM by cooling the gas, altering its chemistry, and absorbing stellar radiation, re-emitting it at longer wavelengths in the far-infrared (FIR) and sub-millimeter regimes. The cold dust component, which dominates the dust mass, is primarily heated by stellar radiation, including both young, massive stars and the diffuse emission from older stars. Und…

Critical Phenomena in Gravitational Collapse
Carsten Gundlach, David Hilditch, Jos\'e M. Mart\'in-Garc\'ia
https://arxiv.org/abs/2507.07636 htt…

Critical Phenomena in Gravitational Collapse
As first discovered by Choptuik, the black hole threshold in the space of initial data for general relativity shows both surprising structure and surprising simplicity. Universality, power-law scaling of the black hole mass, and scale echoing have given rise to the term ``critical phenomena''. They are explained by the existence of exact solutions which are attractors within the black hole threshold, that is, attractors of codimension one in phase space, and which are typically self-similar. Cr…

Die #CriticalMass in #Zürich vom 30. Mai 2025 aus der Sicht eines Corkers. #WirSindDerVerkehr!
Laut Verkehrszähler am neuen Velotunnel waren wir ca. 500, laut Polizei anscheinend 2000 bi…

Mode stability for self-similar blowup of slightly supercritical NLS: II. high-energy spectrum
Zexing Li
https://arxiv.org/abs/2507.11259 https://

Mode stability for self-similar blowup of slightly supercritical NLS: II. high-energy spectrum
In continuation of the study of the companion work, we prove the high-energy mode stability for linearized operator around self-similar profiles in [Bahri-Martel-Raphaël, 2021] for slightly mass-supercritical NLS in $1 \le d \le 10$. This concludes the asymptotic stability of such self-similar blowup, and answers the question from [Bahri-Martel-Raphaël, 2021] and [Merle-Raphaël-Szeftel, 2010]. As a byproduct, we characterize the spectrum for linearized operator around mass-critical ground st…

In pictures: Reclaim the Streets rides again #ReclaimTheStreets

A Deep Learning Approach to Identify Rock Bolts in Complex 3D Point Clouds of Underground Mines Captured Using Mobile Laser Scanners
Dibyayan Patra, Pasindu Ranasinghe, Bikram Banerjee, Simit Raval
https://arxiv.org/abs/2506.20464

A Deep Learning Approach to Identify Rock Bolts in Complex 3D Point Clouds of Underground Mines Captured Using Mobile Laser Scanners
Rock bolts are crucial components of the subterranean support systems in underground mines that provide adequate structural reinforcement to the rock mass to prevent unforeseen hazards like rockfalls. This makes frequent assessments of such bolts critical for maintaining rock mass stability and minimising risks in underground mining operations. Where manual surveying of rock bolts is challenging due to the low light conditions in the underground mines and the time-intensive nature of the proces…

Does this company have a whacky sense of humour, or are they extremely opportunistic - or perhaps both?
This ad came up when I did a search on a medical term I was unfamiliar with:

Is there any new critical mass in Tampere? #KriittinenPyöräretki #CriticalMass #Tampere

Hat jemand Critical Mass gesagt...? 🚲🌇
Heute (30.05.25) waren wir mit 32 Menschen auf Osnabrücks Straßen unterwegs – Start an der #OsnabrückHalle. Bei mildem, perfektem Wetter haben wir gemeinsam gezeigt: Der Platz gehört nicht nur dem #Auto 💪
Der Abschluss im Uni Keller 🍺 rundete die …

This https://arxiv.org/abs/2209.03350 has been replaced.
link: https://scholar.google.com/scholar?q=a

Modeling Polarized Radio Sounding Observations of a Coronal Mass Ejection
Coronal Mass Ejections (CMEs) evolve significantly as they propagate from the Sun to the Earth, so remote observations of their changes in speed, strength of the magnetic field, density, and overall structure are critical for predicting their arrival time and geoeffectiveness. Radio line-of-sight observations of Faraday rotation and Total Electron Content combined with white-light observations enables the measurement of these properties with careful analyses. This paper describes the analysis t…

MatBYIB: A Matlab-based code for Bayesian inference of extreme mass-ratio inspiral binary with arbitrary eccentricity
Gen-Liang Li, Shu-Jie Zhao, Huai-Ke Guo, Jing-Yu Su, Zhen-Heng Lin
https://arxiv.org/abs/2506.05954

MatBYIB: A Matlab-based code for Bayesian inference of extreme mass-ratio inspiral binary with arbitrary eccentricity
Accurate parameter estimation(PE) of gravitational waves(GW) is essential for GW data analysis. In extreme mass-ratio inspiral binary(EMRI) systems, orbital eccentricity is a critical parameter for PE. However, current software for for PE of GW often neglects the direct estimation of orbital eccentricity. To fill this gap, we have developed the MatBYIB, a MATLAB-based software package for PE of GW with arbitrary eccentricity. The MatBYIB employs the Analytical Kludge (AK) waveform as a computat…

The Evolution Of Rotating Supermassive Pop III Stars On The Main Sequence
Devesh Nandal, Ga\"el Buldgen, Daniel J. Whalen, John Regan, Tyrone E. Woods, Jonathan C. Tan
https://arxiv.org/abs/2506.08268

The Evolution Of Rotating Supermassive Pop III Stars On The Main Sequence
The detection of billion-solar-mass supermassive black holes (SMBHs) within the first billion years of cosmic history challenges conventional theories of black hole formation and growth. Simultaneously, recent JWST observations revealing exceptionally high nitrogen-to-oxygen abundance ratios in galaxies at high redshifts raise critical questions about rapid chemical enrichment mechanisms operating in the early universe. Supermassive stars (SMSs) with masses of 1000 to 10000 M$_{\odot}$ are prom…

Today I rode with the Critical Mass. #bicycle

Normalized solutions for a Sobolev critical quasilinear Schr\"odinger equation
Yuxin Li, Meijie Yang, Xiaojun Chang
https://arxiv.org/abs/2506.10870 h…

Normalized solutions for a Sobolev critical quasilinear Schrödinger equation
In this paper, we study the existence of normalized solutions for the following quasilinear Schrödinger equation with critical exponent: \begin{equation*} -Δu-uΔ(u^2)+λu=τ|u|^{q-2}u+|u|^{2\cdot2^*-2}u,~~~~x\in\R^N, \end{equation*} under the mass constraint $\int_{\R^N}|u|^2dx=c$ for some prescribed $c>0$. Here $τ\in \mathbb{R}$ is a parameter, $λ\in\R$ appears as a Lagrange multiplier, $N\ge3$, $2^*:=\frac{2N}{N-2}$ and $2

This https://arxiv.org/abs/2505.22467 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csMA_…

Topological Structure Learning Should Be A Research Priority for LLM-Based Multi-Agent Systems
Large Language Model-based Multi-Agent Systems (MASs) have emerged as a powerful paradigm for tackling complex tasks through collaborative intelligence. Nevertheless, the question of how agents should be structurally organized for optimal cooperation remains largely unexplored. In this position paper, we aim to gently redirect the focus of the MAS research community toward this critical dimension: develop topology-aware MASs for specific tasks. Specifically, the system consists of three core co…

MatBYIB: A Matlab-based code for Bayesian inference of extreme mass-ratio inspiral binary with arbitrary eccentricity
Gen-Liang Li, Shu-Jie Zhao, Huai-Ke Guo, Jing-Yu Su, Zhen-Heng Lin
https://arxiv.org/abs/2506.05954

MatBYIB: A Matlab-based code for Bayesian inference of extreme mass-ratio inspiral binary with arbitrary eccentricity
Accurate parameter estimation(PE) of gravitational waves(GW) is essential for GW data analysis. In extreme mass-ratio inspiral binary(EMRI) systems, orbital eccentricity is a critical parameter for PE. However, current software for for PE of GW often neglects the direct estimation of orbital eccentricity. To fill this gap, we have developed the MatBYIB, a MATLAB-based software package for PE of GW with arbitrary eccentricity. The MatBYIB employs the Analytical Kludge (AK) waveform as a computat…

JUNO 20-inch PMT and electronics system characterization using large pulses of PMT dark counts at the Pan-Asia testing platform
Caimei Liu, Min Li, Narongkiat Rodphai, Zhimin Wang, Jun Hu, Nikolay Anfimov, Lei Fan, Alberto Garfagnini, Guanghua Gong, Shaojing Hou, Xiaolu Ji, Xiaoshan Jiang, Denis Korablev, Tobias Lachenmaier, Si Ma, Xiaoyan Ma, Zhe Ning, Alexander G. Olshevskiy, Zhaoyuan Peng, Zhonghua Qin, Tobias Sterr, Yunhua Sun, Alexander Felix Tietzsch, Jun Wang, Wei Wang, Yangfu W…

JUNO 20-inch PMT and electronics system characterization using large pulses of PMT dark counts at the Pan-Asia testing platform
The main goal of the JUNO experiment is to determine the neutrino mass ordering with a 20kt liquid-scintillator detector. The 20-inch PMT and its 1F3 (one for three) electronics are crucial to realize the excellent energy resolution of at least 3% at 1MeV. The knowledge on the PMT and 1F3 electronics response is critical for detector performance understanding. A study of the JUNO 20-inch PMT and 1F3 electronics system characterization is presented using large pulses of PMT dark count at the Pan…

This https://arxiv.org/abs/2402.11229 has been replaced.
initial toot: https://mastoxiv.page/@arX…

Spin dynamics and dark particle in a weak-coupled quantum Ising ladder with $\mathcal{D}_8^{(1)}$ spectrum
Emergent Ising$_h^2$ integrability is anticipated in a quantum Ising ladder composed of two weakly-coupled critical transverse field Ising chains. The system is remarkable for including eight types of massive relativistic particles, with their scattering matrix and mass spectrum characterized by the $\mathcal{D}_8^{(1)}$ Lie algebra. In this article, by computing the spin dynamical structure factors following analytical form factor approach, we clearly identify dispersive single-particle excita…

Peaking into the abyss: Characterizing the merger of equatorial-eccentric-geodesic plunges in rotating black holes
Guglielmo Faggioli, Maarten van de Meent, Alessandra Buonanno, Gaurav Khanna
https://arxiv.org/abs/2507.05870

Peaking into the abyss: Characterizing the merger of equatorial-eccentric-geodesic plunges in rotating black holes
We study the gravitational waveforms generated by critical, equatorial plunging geodesics of the Kerr metric that start from an unstable-circular-orbit, which describe the test-mass limit of spin-aligned eccentric black-hole mergers. The waveforms are generated employing a time-domain Teukolsky code. We span different values of the Kerr spin $-0.99 \le a \le 0.99 $ and of the critical eccentricity $e_c$, for bound ($0 \le e_c<1$) and unbound plunges ($e_c \ge 1$). We find that, contrary to expe…

Refining Tc Prediction in Hydrides via Symbolic-Regression-Enhanced Electron-Localization-Function-Based Descriptors
Francesco Belli, Sean Torres, Julia Contreras-Garc\`ia, Eva Zurek
https://arxiv.org/abs/2506.17456

Refining Tc Prediction in Hydrides via Symbolic-Regression-Enhanced Electron-Localization-Function-Based Descriptors
Hydrogen-based materials are able to possess extremely high superconducting critical temperatures, \tc s, due to hydrogen's low atomic mass and strong electron-phonon interaction. Recently, a descriptor based on the Electron Localization Function (ELF) has enabled the rapid estimation of the \tc\ of hydrogen-containing compounds from electronic networking properties, but its applicability has been limited by the small size and homogeneity of the training dataset used. Herein, the model is re-ex…

Normalized ground states for NLS equations with mass critical nonlinearities
Silvia Cingolani, Marco Gallo, Norihisa Ikoma, Kazunaga Tanaka
https://arxiv.org/abs/2507.00639

Normalized ground states for NLS equations with mass critical nonlinearities
We study normalized solutions $(μ,u)\in \mathbb{R} \times H^1(\mathbb{R}^N)$ to nonlinear Schrödinger equations $$ -Δu + μu = g(u)\quad \hbox{in}\ \mathbb{R}^N, \qquad \frac{1}{2}\int_{\mathbb{R}^N} u^2 dx = m, $$ where $N\geq 2$ and the mass $m>0$ is given. Here $g$ has an $L^2$-critical growth, both in the origin and at infinity, that is $g(s)\sim |s|^{p-1}s$ as $s\sim 0$ and $s\sim\infty$, where $p=1+\frac{4}{N}$. We continue the analysis started in [Cingolani-Gallo-Ikoma-Tan…

This https://arxiv.org/abs/2404.14500 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

The SAGA Survey. V. Modeling Satellite Systems around Milky Way-mass Galaxies with Updated UniverseMachine
Environment plays a critical role in shaping the assembly of low-mass galaxies. Here, we use the UniverseMachine (UM) galaxy-halo connection framework and the Data Release 3 of the Satellites Around Galactic Analogs (SAGA) Survey to place dwarf galaxy star formation and quenching into a cosmological context. UM is a data-driven forward model that flexibly parameterizes galaxy star formation rates (SFR) using only halo mass and assembly history. We add a new quenching model to UM, tailored for g…

Replaced article(s) found for math.AP. https://arxiv.org/list/math.AP/new/
[1/1]:
Non-radial Blow-up for a mass-critical fourth-order inhomogeneous nonlinear Schr\"odinger equation

Aujourd'hui, c'est Critical Mass Š Genève avec No2.
Plus de monde qu'en février, je me demande pourquoi 😂

The PGPUC horizontal branch evolutionary tracks
A. A. R. Valcarce (UTA), M. Catelan (PUC-Chile, MAS), S. Alves (UTA), F. Gonzalez-Bordon (UTA)
https://arxiv.org/abs/2506.16562

The PGPUC horizontal branch evolutionary tracks
The horizontal branch (HB) phase of stellar evolution plays a critical role in understanding the life cycle of stars, particularly in the context of low-mass stars. However, generating theoretical evolutionary tracks for HB stars is computationally intensive, especially when attempting to match a wide range of observational data. This work presents an extensive grid of HB evolutionary tracks computed using the PGPUC code, covering a broad range of chemical compositions, progenitor masses, and a…

This https://arxiv.org/abs/2505.20758 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

$L^2$-normalized solutions of a class of $(2,q)$-Laplacian Schrödinger equations with inhomogeneous nonlinearity
In this paper, we study systematically the $L^2$-normalized solutions of a class of $(2,q)$-Laplacian Schrödinger equations with inhomogeneous nonlinearity. Our results contain the existence, non-existence, multiplicity and some asymptotic behaviors of the $L^2$ normalized solutions, covering the mass-subcritical, mass-critical and mass-supercritical cases. Some of the existence results are given sharply. The proofs are mainly based on the constrained variational methods.

Multiple solutions for Schr{\"o}dinger-Poisson-Slater equations with critical growth
Shibo Liu
https://arxiv.org/abs/2507.00295 https://

Multiple solutions for Schr{ö}dinger-Poisson-Slater equations with critical growth
We obtain multiple solutions for the zero mass Schr{ö}dinger-Poisson-Slater equation \[ - Δu + \left( \frac{1}{4 π| x |} \ast u^2 \right) u = λg (x) | u |^{p - 2} u + | u |^{6 - 2} u \text{, \ \ \ \ } u \in \mathcal{D}^{1, 2} (\mathbb{R}^3) \text{} \] for $λ\gg 1$, where $p \in (4, 6)$ and $g \in L^{6 / (6 - p)} (\mathbb{R}^3)$. The crucial (PS)$_c$ condition is verified using a simpler method. Similar multiplicity result is also obtained for related equation …

This https://arxiv.org/abs/2505.15126 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Damping Effects on Global Existence and Scattering for an Inhomogeneous NLS Equation with Inverse-Square Potential
This work explores the global existence and scattering behavior of solutions to a damped, inhomogeneous nonlinear Schrodinger equation featuring a time-dependent damping term, an inverse-square potential, and an inhomogeneous nonlinearity. We establish global well-posedness in the energy space for subcritical, mass-critical, and energy-critical regimes, using Strichartz estimates, Hardy inequalities, and Gagliardo-Nirenberg-type estimates. For sufficiently large damping, we highlight how the in…