Tootfinder

you can get .SAN files here btw https://ia801903.us.archive.org/view_archive.php?archive=/21/items/star-wars-rebel-assault-ii-disc-2/Star Wars, Rebel Assault II (Disc 1).iso

David Sacks says China is rejecting Nvidia's H200 AI chips, because the country wants "semiconductor independence" and to "prop up and subsidize Huawei" (Maggie Eastland/Bloomberg)
https://www.bloomberg.com/news/articles/20

@… I haven’t played Worms 2!

INVITATION: Join us for the 4th MIT Global Humanities Initiative Conference on “STEMAH = The University of the Future” on November 20/21 (KST)
https://ift.tt/bMev4Eg
H-Diplo|RJISSF Roundtable Review 15-42 on Selverstone, _The Kennedy Withdrawal_ H-Diplo |…
via Input 4 RELCFP

❗️Ukraine is ready for a demilitarized zone in Donbas – but only on condition of parity! #shorts: https://benborges.xyz/2025/12/12/ukraine-is-ready-for-a.html

Six degrees of #Wikipedia is a site that lets you type in two different topics and then shows how many Wikipedia pages apart they are. It also displays a visual chart for each pair of topics you enter.
The chart includes the two topics you entered, and all the other ones that build bridges connecting the two.
And while you’re at it, consider making a donation to help support wiki.

Six Degrees of Wikipedia
Find the shortest hyperlinked paths between any two pages on Wikipedia.

(€) Im Windpark #Sonnenbühl steht das erste #Windrad bereits, der zweite Turm wird aktuell errichtet.
Insgesamt sollen fünf Anlagen Gemeindeflächen und im #Staatsforst entstehen. Alle …

Ein Rad steht schon: Der Windpark Sonnenbühl wächst - Region Neckar-Alb - Reutlinger General-Anzeiger - gea.de
Alle Rotorblätter, Turmteile, Naben, Getriebe und Maschinenhäuser sind an ihrem Bestimmungsort. Der Windpark Hohfleck wächst. Ein Windrad steht ...

RIGHT, Trekkies, let's RANK AWAY. We are nothing if not *rankers.*
My fave Trek in order of lovings:
TOS
TNG
SNW
ENT
PRODIGY
TAS
VOY
DS9
DISCO
PICARD
LOWER DECKS
#StarTrek

Eagles fire first-year offensive coordinator Kevin Patullo after wild card loss to depleted 49ers

https://www.cbssports.com/nfl/news/eagles-fire-offensive-coordinato…

Ipar Euskal Herriko bost herritarretik lau euskal lurraldeen arteko harremanak indartzearen alde daude, Naziometroaren arabera
https://www.berria.eus/euskal-herria/iparraldeko-bost-herritarret…

Iparraldeko bost herritarretik lau euskal lurraldeen arteko harremanak indartzearen alde daude
Naziometroaren arabera, Lapurdin, Zuberoan eta Nafarroa Beherean indartu egin da erabakitzeko eskubidea izateko nahia azken bost urteetan; aldiz, apaldu egin da erreferendumaren aldekoa.

Sources: Netflix is working on revised terms for its WBD acquisition and has discussed making its offer all cash for the studios and streaming businesses (Bloomberg)
https://www.bloomberg.com/news/articles/2026-01-13/netflix-weig…

The Discovery of #LittleRedDots in the Local Universe - Signatures of Cool Gas Envelopes: https://arxiv.org/abs/2507.10659 -> A Black Hole Egg That Forgot to Hatch: https://aasnova.org/2026/01/13/a-black-hole-egg-that-forgot-to-hatch/

Needs more Adrian Edmondson bursting in yelling "Fies My Soul?"
#TOTP

Won't someone think of the country clubs!!!

OpenAI has made a decision to encourage its users to form a parasocial relationship with ChatGPT. It's gross and dangerous. Also just not useful for serious use. But it will make their users more loyal and encourage psychological dependency.
GPT‑5.1 Instant, ChatGPT’s most used model, is now warmer by default and more conversational. Based on early testing, it often surprises people with its playfulness while remaining clear and useful.
(I really like ChatGPT and use it all the time. But this change is the exact opposite of what I want.)

Adelita Grijalva is finally sworn in as Trump scrambles to derail Epstein files measure (Steve Benen/MSNBC)
https://www.msnbc.com/rachel-maddow-show/maddowblog/adelita-grijalva-sworn-in-trump-epstein-files-rcna243532
http://www.memeorandum.com/251112/p112#a251112p112

The [Brown Daily] Herald sent out 22 photographers for 24 hours to capture the first day of spring on College Hill, from noon on March 19 to noon on March 20 [2025]. A rather nicer way to imagine the Brown campus.
https://projects.browndailyherald.com/2025/03/21/today-at-brow…

Management calls it ‘disruptive.’ We call it Tuesday lunch with collective bargaining.
#Anarchism #Syndicalism #ANarchoSyndicalism

So I have been using Twitter just for browsing for the last year or so, with little to no posting (mainly just replies)
I got prompted to re-roll my security keys (because they are killing off the old domain)
but it now keeps asking me to re-roll or verify my email but nothing works.
I sent a support ticket, but I doubt I will get a response (And if I do, I will get a 💩 emoji response), so I really believe that is me done with Twitter.

comes off as perhaps too comfortable marching to the beat of his own drum.

@… No, we’re in the first year for the seventh time.

🪞 Inside a global campaign hijacking open-source project identities
https://www.fullstory.com/blog/inside-a-global-campaign-hijacking-open-source-project-identities/

Inside a global campaign hijacking open-source project identities
Fullstory’s security team uncovered 165 fraudulent domains impersonating open-source projects, revealing widespread risks for developers, users, and maintainers.

Danke an @… für diesen sehr ausführlichen Artikel zur Verschwörungstheorie "Rituelle Gewalt-Mind Control" (RG-MC).
Es ist einfach unfassbar was die Opfer dieser Leute über sich ergehen lassen müssen und wie extrem die Folgen davon sind.
Das Thema braucht viel mehr Öffentlichkeit finde ich.

Das #MediaCampNRW findet am Samstag, 21. Februar 2026 in Bochum statt.
https://ichsagmal.com/die-werkstatt-der-oeffentlichkeit-mediacampnr…

Die Werkstatt der Öffentlichkeit: MediaCampNRW in Bochum am 21. Februar 2026 - ichsagmal.com
Um 9:30 Uhr wird in Bochum nicht nur Kaffee eingeschenkt, sondern Entscheidungslast verteilt: Wer hierherkommt, übernimmt für einen Tag Mitverantwortung dafür, worüber gesprochen wird – und wie. Das MediaCampNRW findet am Samstag, 21. Februar 2026, im WerkRaum der GLS Bank, Christstraße 9, statt; Ende 16:00 Uhr. Veranstalter ist das MediaLab.NRW, unterstützt von der Bochum Wirtschaftsentwicklung. … Die Werkstatt der Öffentlichkeit: MediaCampNRW in Bochum am 21. Februar 2026 weiterles…

Bill Gates’ Terrapower liefert Meta Platforms Atomreaktoren
Meta Platforms hat einen AKW-Lieferanten gefunden: Die von Bill Gates gegründete Firma Terrapower. Sie will 2 bis 8 Reaktoren liefern.
https://www.

TIL Philippa Strache hat als Kind im Musikvideo von Falcos „Mutter, der Mann mit dem Koks ist da“ mitgespielt.

Ku Klux Yam
bot by @…
This is satire, not sedition: tell the black helicopters to return to base.
#satire #potus45

This is lovely https://mastodon.gamedev.place/@godotengine/115543655213589423

RE: https://mastodon.social/@PCMag/115883651187855815
Oh, yay, we’re not leaving this planet, are we folks?

Crosslisted article(s) found for math.AP. https://arxiv.org/list/math.AP/new
[1/1]:
- Young functions on varifolds. Part I. Functional analytic foundations
Hsin-Chuang Chou

Crosslisted article(s) found for math.DS. https://arxiv.org/list/math.DS/new
[1/1]:
- Hausdorff measure of cartesian product of Cantor sets
Siyuan Guo, Taylor Jones

Pretty intense sun dog
What's a sun dog? https://en.wikipedia.org/wiki/Sun_dog

Amazon Prime Video pulls its AI recaps, which it began testing in November, for Fallout, Bosch, and other shows after users noticed errors in the Fallout recaps (Emma Roth/The Verge)
https://www.theverge.com/news/842978/amazon-prime-video-ai-fallout-recap<…

Amazon Prime Video pulls AI-powered recaps after Fallout flub
Amazon Prime Video has pulled its AI-powered Video Recaps after viewers noticed errors in Fallout’s season one summary.

@… worth a mention in the post, for sure. I don’t have control over all of the contexts in which the code will be used though 😭

Chargers fire offensive coordinator Greg Roman: Five candidates to maximize Justin Herbert

https://www.cbssports.com/nfl/news/chargers-fire-…

Erinnerungen an den Beginn der #Coronapandemie werden wach:
"H3N2-Grippewelle überlastet Italiens Notaufnahmen"
Der #Grippevirus #H3N2 umgeht das

Mediziner raten zur Impfung: H3N2-Grippewelle überlastet Italiens Notaufnahmen
Der Grippevirus H3N2 umgeht das Immunsystem leichter und sorgt für einen "Flunami" im Süden. Während Italien unter der Last der Patienten ächzt, bleibt die Bettenbelegung in Deutschland noch stabil. Erste Kliniken mussten jedoch bereits Kranke verlegen.

After an antitrust probe, South Africa announces a ~$40M media support package from Google, which will fund national, community, and non-English language media (Reuters)
https://www.reuters.com/business/media-tel…

INVITATION: Join us for the 4th MIT Global Humanities Initiative Conference on “STEMAH = The University of the Future” on November 20/21 (KST)
https://ift.tt/QHqrMtK
H-Diplo|RJISSF Roundtable Review 15-42 on Selverstone, _The Kennedy Withdrawal_ H-Diplo |…
via Input 4 RELCFP

Arizona Democrat Adelita Grijalva sworn in after contentious seven-week delay (Scott Wong/NBC News)
https://www.nbcnews.com/politics/congress/arizona-democrat-adelita-grijalva-sworn-contentious-seven-week-delay-rcna243007
http://www.memeorandum.com/251112/p111#a251112p111

Less persuasive are his attempts to psychoanalyze his colleagues

Herr Tschentscher, ein zweiter Beluga..

heise | Von Kika bis Youtube Kids: So sicher sind Streaming-Dienste für Kinder
Die Kinder im Feiertagsstress kurz mit einer Serie zu beschäftigen, klingt verlockend. Wir erklären, wie Sie für ein altersgerechtes Programm sorgen.

Commander in Fleece
bot by @…
No laws were broken in the making of this bot: cancel the hit squad.
#satire #potus45

It looked better on TikTok but this will do

Stochastic Homogenization of the Hamilton-Jacobi Equation on Manifolds
Marco Pozza, Alfonso Sorrentino
https://arxiv.org/abs/2510.11714 https://arxiv.org/p…

Stochastic Homogenization of the Hamilton-Jacobi Equation on Manifolds
This article establishes a stochastic homogenization result for the first order Hamilton-Jacobi equation on a Riemannian manifold $M$, in the context of a stationary ergodic random environment. The setting involves a finitely generated abelian group $ \mathtt{G}$ of rank $b$ acting on $M$ by isometries in a free, totally discontinuous, and co-compact manner, and a family of Hamiltonians $H: T^*M \times Ω\to \mathbb{R}$, parametrized over a probability space $(Ω, \mathbb{P})$, which are statio…

Limit cycles and invariant algebraic curves
Armengol Gasull, Paulo Santana
https://arxiv.org/abs/2510.11705 https://arxiv.org/pdf/2510.11705

Limit cycles and invariant algebraic curves
We give lower bounds in terms of~$n,$ for the number of limit cycles of polynomial vector fields of degree~$n,$ having any prescribed invariant algebraic curve. By applying them when the ovals of this curve are also algebraic limit cycles we obtain a new recurrent property for the Hilbert numbers. Finally, we apply our results to two important families of models: Kolmogorov systems and a general family of systems appearing in Game Theory.

Die US-Umweltschutzbehörde #EPA hat auf ihrer Website Hinweise auf fossile Energien als Ursache der #Erderwärmung entfernt.
Stattdessen nennt sie fast ausschließlich natürliche Faktoren. Forschende kritisieren die Änderungen scharf und sprechen von einer gefährlichen Verzerrung wissensch…

EPA-Website streicht fossile Brennstoffe als Ursache der Erderwärmung
Ein Klimaexperte bringt es auf den Punkt: „Das ist, als würde man so tun, als verursachten Zigaretten keinen Lungenkrebs.“ Er spricht Klartext.

INVITATION: Join us for the 4th MIT Global Humanities Initiative Conference on “STEMAH = The University of the Future” on November 20/21 (KST)
https://ift.tt/E1HmAeQ
H-Diplo|RJISSF Roundtable Review 15-42 on Selverstone, _The Kennedy Withdrawal_ H-Diplo |…
via Input 4 RELCFP

Sources: the NY governor proposes a rewrite of the RAISE Act, the AI bill that recently passed NY legislature, with text copied verbatim from California's SB 53 (Shakeel Hashim/Transformer)
https://www.transformernews.ai/p/new-york-governor-hochul-raise-act-sb-5…

New York’s governor is trying to turn the RAISE Act into an SB 53 copycat
EXCLUSIVE: Gov. Kathy Hochul is proposing to strike the entire text of the RAISE Act, replacing it with verbatim language from SB 53, sources tell Transformer.

Catholic bishops launch program in defense of migrants (Michelle Boorstein/Washington Post)
https://www.washingtonpost.com/nation/2025/11/12/catholic-bishops-trump-immigrants-defend/
http://www.memeorandum.com/251112/p110#a251112p110

Boston Globe editor Nancy Barnes steps down from her role but will remain on staff as editor-at-large; she joined the paper as the first female editor in 2023 (Aidan Ryan/The Boston Globe)
https://www.bostonglobe.com/2025/12/12/business/nanc…

Boston Globe editor Nancy Barnes to step down
In a note to the Globe newsroom, Barnes said she is stepping down at the end of next week and will stay on staff as an editor-at-large.

Niners open window for possible return by Warner https://www.espn.com/nfl/story/_/id/47601958/49ers-fred-warner-eye-nfc-title-game-possible-return

FritzOS 8.21: Fritz verteilt Hotfix-Update
Mehrere Fritzboxen haben inzwischen ein Update auf FritzOS 8.21 erhalten. Es behebt unter anderem IPv6-Probleme.
https://www.heise.de/news/FritzOS-8-21-Fri<…

Folks, this was a very respectable Barolo, and the last half bottle vanished without me noticing.
I think I got it at Eataly when I said “where are your cheapest barolos” after the tariffs kicked in:

Big Daddy Poopy Pants
bot by @…
This is for tee hee, not treason: rescind the warrant.
#satire #potus45

A family of interaction energy minimizers supported on two intervals
Steven B. Damelin, Ruiwen Shu
https://arxiv.org/abs/2510.11662 https://arxiv.org/pdf/2…

A family of interaction energy minimizers supported on two intervals
In this paper, we consider the one-dimensional interaction energy $\frac{1}{2}\int_{\mathbb{R}}(W*ρ)(x)dρ(x) + \int_{\mathbb{R}}U(x)dρ(x)$ where the interaction potential $W(x)= -\frac{|x|^b}{b},\,1\le b \le 2$ and the external potential $U(x)=\frac{|x|^4}{4}$, and $ρ$ is a compactly supported probability measure on the real line. Our main result shows that the minimizer is supported on two intervals when $1

On the Piecewise Linear Perturbations of the Doubling Map
Anubrato Bhattacharyya, Kuntal Banerjee
https://arxiv.org/abs/2510.11441 https://arxiv.org/pdf/25…

On the Piecewise Linear Perturbations of the Doubling Map
Inspired by the 2007 work by M.~Misiurewicz and A.~Rodrigues [Double Standard Maps, M. Misiurewicz, A. Rodrigues, Communications in Mathematical Physics], we consider a family of circle maps that are perturbations of the doubling map on the circle by a piecewise linear map. We call this the \textit{piecewise linear perturbation of the doubling map} (PLPDM) and it is given by the formula, $f_{a,b}(x)= \displaystyle \bigl(2x+a+\dfrac{b}{2} S(x) \bigr) // 1 \quad {\text {for }} x, a, b \in [0,1]…

CONFERENCE> Join us for the 4th MIT Global Humanities Initiative Conference on “STEMAH = The University of the Future” on November 20/21 (KST)
https://ift.tt/KgEPSbk
H-Diplo|RJISSF Roundtable Review 15-42 on Selverstone, _The Kennedy Withdrawal_ H-Diplo |…
via Input 4 RELCFP

Trump officially asks Israeli president to pardon Netanyahu (Barak Ravid/Axios)
https://www.axios.com/2025/11/12/trump-netanyahu-pardon-letter-corruption-charges
http://www.memeorandum.com/251112/p109#a251112p109

INVITATION: Join us for the 4th MIT Global Humanities Initiative Conference on “STEMAH = The University of the Future” on November 20/21 (KST) #acrel https://…

Rahm Emanuel, considering White House bid, urges Dems to move center on crime (Lisa Kashinsky/Politico)
https://www.politico.com/news/2025/11/12/rahm-emanuel-crime-democrats-00647488
http://www.memeorandum.com/251112/p108#a251112p108

Fujita-type results for parabolic equations with Hartree-type nonlinearities
Ahmad Z. Fino, Berikbol T. Torebek
https://arxiv.org/abs/2510.11648 https://ar…

Fujita-type results for parabolic equations with Hartree-type nonlinearities
This paper investigates the critical behavior of global solutions to a parabolic equation with a Hartree-type nonlinearity of the form $$\left\{\begin{array}{ll} u_{t}+(-Δ)^{\fracβ{2}} u= (\mathcal{K}\ast |u|^{p})|u|^{q},&\qquad x\in \mathbb{R}^n,\,\,\,t>0, u(x,0)=u_{0}(x),& \qquad x\in \mathbb{R}^n,\end{array} \right.$$ where $β\in(0,2]$, $n\geq1$, $p>1$, $q\geq 1$, $(-Δ)^{\fracβ{2}},\,β\in(0,2)$ denotes the fractional Laplacian, the symbol $\ast$ denotes the conv…

Extreme events and impact statistics for unipotent actions on the space of lattices
Jens Marklof, Andreas Str\"ombergsson, Shucheng Yu
https://arxiv.org/abs/2510.11371 http…

Extreme events and impact statistics for unipotent actions on the space of lattices
This paper extends a recent extreme value law for horocycle flows on the space of two-dimensional lattices, due to Kirsebom and Mallahi-Karai, to the simplest examples of rank-$k$ unipotent actions on the space of $n$-dimensional lattices. We analyse the problem in terms of the hitting time and impact statistics for the unipotent action with respect to a shrinking surface of section, following the strategy of Pollicott and the first named author in the case of hyperbolic surfaces. If $k=n-1$, t…

CONFERENCE> Join us for the 4th MIT Global Humanities Initiative Conference on “STEMAH = The University of the Future” on November 20/21 (KST) #acrel https://

Trump pressures Boebert, Mace to back down on Epstein files (Kate Santaliz/Axios)
https://www.axios.com/2025/11/12/epstein-files-trump-massie-discharge-petition-boebert-mace
http://www.memeorandum.com/251112/p107#a251112p107

An inverse problem for the Monge-Amp\`ere equation
Tony Liimatainen, Yi-Hsuan Lin
https://arxiv.org/abs/2510.11572 https://arxiv.org/pdf/2510.11572

An inverse problem for the Monge-Ampère equation
We extend the study of inverse boundary value problems to the setting of fully nonlinear PDEs by considering an inverse source problem for the Monge-Ampère equation \[ \det D^2 u = F. \] We prove that, on a convex Euclidean domain in the plane, the associated Dirichlet-to-Neumann (DN) map uniquely determines a positive source function $F$. The proof relies on recovering the Hessian of a solution to the equation, which is interpreted as a Riemannian metric $g$. Interestingly, although t…

Fibration Symmetries and Cluster Synchronization in Multi-Body Systems
Margherita Bert\`e, Tommaso Gili
https://arxiv.org/abs/2510.11207 https://arxiv.org/…

Fibration Symmetries and Cluster Synchronization in Multi-Body Systems
Based on recent advances in fibration symmetry theory, we investigate how structural symmetries influence synchronization in systems with higher-order interactions (HOI). Using bipartite graph representations, we identify a node partition in fibres, based on equivalent incidence relations in hypergraphs. We study how identical nodes with an isomorphic input set can synchronize due to structural properties under our specific model assumptions, examining the dynamical model of Kuramoto with highe…

Chicagoans buy out street vendors amid a federal immigration crackdown (Christine Fernando/Associated Press)
https://apnews.com/article/chicago-illinois-immigration-ice-c24537965e31860fb07ba83e79de4f4b
http://www.memeorandum.com/251112/p106#a251112p106

CFP Food and Censorship (publication)
https://ift.tt/XZVh0of
updated: Monday, January 12, 2026 - 3:16pmfull name / name of organization: Food&contact…
via Input 4 RELCFP https://<…

Gaussian beam interactions and inverse source problems for nonlinear wave equations
Matti Lassas, Tony Liimatainen, Valter Pohjola, Teemu Tyni
https://arxiv.org/abs/2510.11494 h…

Gaussian beam interactions and inverse source problems for nonlinear wave equations
We study the inverse source problem for the semilinear wave equation \[ (\Box_g + q_1)u + q_2 u^2 = F, \] on a globally hyperbolic Lorentzian manifold. We demonstrate that the coefficients $q_1$ and $q_2$, as well as the source term $F$, can be recovered up to a natural gauge symmetry inherent in the problem from local measurements. Furthermore, if $q_1$ is known, we establish the unique recovery of the source $F$, which is in a striking contrast to inverse source problems for linear equations …

Periodic solutions in a tumor-immune competition system with time-delay and chemotherapy effects
Pablo Amster, Andr\'es Rivera, Jhon A. Arredondo
https://arxiv.org/abs/2510.11135

Periodic solutions in a tumor-immune competition system with time-delay and chemotherapy effects
The main purpose of this paper is to analyze the dynamics of the system of time-delay differential equations (DDEs) \begin{equation*} \begin{split} \dot{T}(t)&=T(t) f(t,T(t))-γE(t)T(t),\\ \dot{E}(t)&=σ+ \frac{pE(t)T(t-τ_1)}{g+a T(t-τ_1)}-\frac{mE(t)T(t-τ_2)}{g+a T(t-τ_2)}-ηE(t), \end{split} \end{equation*} where $T=T(t)$ and $E=E(t)$ represent the concentrations of tumor and effector cells at the time $t$. The coefficients $σ$, $μ$, $γ$, and $η$ are all positive, and $f(t, T)$ repres…

International Congress on Narrative and Aesthetics in Film, Series, TV, and Audiovisual Experimentation
https://ift.tt/9g6YCkZ
updated: Monday, January 12, 2026 - 3:16pmfull name / name of organization: congresocinecontact…
via Input 4 RELCFP

Donald Trump Is a Lamer Duck Than Ever (Mark Leibovich/The Atlantic)
https://www.theatlantic.com/politics/2025/11/trump-lame-duck-third-term-prospects/684899/
http://www.memeorandum.com/251112/p81#a251112p81

Introduction to quantitative De Giorgi methods
Giovanni Brigati, Cl\'ement Mouhot
https://arxiv.org/abs/2510.11481 https://arxiv.org/pdf/2510.11481

Introduction to quantitative De Giorgi methods
The theory of De Giorgi (1958) and Nash (1959) solves Hilbert's 19th problem and constitutes a major advance in the analysis of PDEs in the 20th century. This theory concerns the Hölder regularity of solutions to elliptic and parabolic equations with non-regular coefficients, and it was extended by Moser (1960) to include the Harnack inequality. This course reviews the classical De Giorgi method in the elliptic and parabolic cases and introduces its recent extension to hypoelliptic equations w…

Topological weak containment
Riley Thornton
https://arxiv.org/abs/2510.10882 https://arxiv.org/pdf/2510.10882

Topological weak containment
We build on work of Elek and Zucker and develop a topological analogue of the theory of weak containment. We show that definitions in terms of local patterns, containment in ultra(co)products, and continuous model theory are all equivalent, just as in ergodic theory. And, for actions on Cantor space, we show these are all equivalent to approximate conjugacy. Restricting our attention to Cantor space, we connect this theory to questions about generic actions. We show how the shape of the space…

LECTURE> Prof. Cheng Zheng 程正 (Komazawa University 駒澤大学):『修禪要訣』諸本の研究 [A Study of the Different Copies of the “Xiuchan Yaojue” (Essentials to the Practice of Meditation)]
https://ift.tt/FYbrpmd
Mining the Logs: Sources on Blue Humor URL …
via Input 4 RELCFP

Jost solutions and direct scattering for the continuum Calogero-Moser equation
Rupert L. Frank, Larry Read
https://arxiv.org/abs/2510.11403 https://arxiv.o…

Jost solutions and direct scattering for the continuum Calogero-Moser equation
We propose an inverse scattering transform for the continuum Calogero-Moser equation. We give a rigorous treatment of the direct scattering problem by constructing the associated Jost solutions and introducing a distorted Fourier transform, as well as deriving trace formulas for the eigenvalues of the Lax operator.

A topology for Engel expansions: evaluation and digit coding maps
Min Woong Ahn
https://arxiv.org/abs/2510.10850 https://arxiv.org/pdf/2510.10850

A topology for Engel expansions: evaluation and digit coding maps
We develop a topological framework for Engel expansions that treats both directions of the correspondence between points of $(0,1]$ and nondecreasing digit sequences. We endow the sequence space with the product topology to study the evaluation map, and we fix a nonterminating digit algorithm to study the digit coding map. We also record the correspondence between cylinder sets and fundamental intervals, and give an application to Baire category results for functions of the digits.

LECTURE> Prof. Cheng Zheng 程正 (Komazawa University 駒澤大学):『修禪要訣』諸本の研究 [A Study of the Different Copies of the “Xiuchan Yaojue” (Essentials to the Practice of Meditation)]
https://ift.tt/WwT8zCM
Mining the Logs: Sources on Blue Humor URL …
via Input 4 RELCFP

Global-in-time Discontinuous Solutions for the Two-Phase Model of Compressible Fluids with Density-Dependent Viscosity
Marcel Zodji
https://arxiv.org/abs/2510.11383 https://

Global-in-time Discontinuous Solutions for the Two-Phase Model of Compressible Fluids with Density-Dependent Viscosity
We are concerned with a model describing the motion of two compressible, immiscible fluids with density-dependent viscosity in the whole $\mathbb R^3$. The phases of the flow may have different pressure and viscosity laws and are separated by a sharp interface, across which the (total) density is discontinuous. Our goal is to study the persistence of the regularity of this sharp interface over time. More precisely, the dynamics of the flow are governed by three coupled equations: two hyperbolic…

On Sets of Periodic Orbit Lengths in Finitely Presented Dynamical Systems
Huub de Jong
https://arxiv.org/abs/2510.10848 https://arxiv.org/pdf/2510.10848

On Sets of Periodic Orbit Lengths in Finitely Presented Dynamical Systems
We classify the sets of natural numbers $n$ for which certain dynamical systems $(X,f)$ on a compact metric space $X$ have a periodic point of (least) period $n$. Interest in this question dates back to Sharkovskii's theorem for continuous maps on intervals of the real line, but it also ties to checkable conditions for Krieger's embedding theorem for symbolic dynamical systems. Given a system for which the logarithmic derivative of the Artin-Mazur zeta function is rational, we use the Skolem-Ma…

LECTURE> Prof. Cheng Zheng 程正 (Komazawa University 駒澤大学):『修禪要訣』諸本の研究 [A Study of the Different Copies of the “Xiuchan Yaojue” (Essentials to the Practice of Meditation)] https://networks.h-net.org/group/announcements/20135166/lectu…

$L^2$ normal velocity implies strong solution for graphical Brakke flows
Kotaro Motegi
https://arxiv.org/abs/2510.11377 https://arxiv.org/pdf/2510.11377

$L^2$ normal velocity implies strong solution for graphical Brakke flows
We prove that if a one-parameter family of varifolds has an $L^2$ normal velocity $v$ in the sense of Brakke, and if the family is represented as the graph of a continuous function $f$ with continuous spatial derivative $\nabla f$, then $f$ has weak derivatives $\partial_t f, \nabla^2 f \in L^2$, and $v$ coincides with the usual normal velocity of the graph. Moreover, by combining this result with parabolic regularity theory, we show that graphical Brakke flows with forcing term in $L^{p,q}$ an…

Hydrodynamics of degenerate Fermi gases on spherical Fermi surfaces
Benjamin Anwasia, Diogo Ars\'enio
https://arxiv.org/abs/2510.10897 https://arxiv.or…

Hydrodynamics of degenerate Fermi gases on spherical Fermi surfaces
We consider the description of a Fermi gas of free electrons given by the Boltzmann--Fermi--Dirac equation, and aim at providing a precise mathematical understanding of the Fermi ground state and its first-order approximation of excited states on the Fermi sphere. In order to achieve that, using the framework of hydrodynamic limits in collisional kinetic theory, we identify the low-temperature regimes in which charge-density fluctuations concentrate on the Fermi sphere. In three spatial dimen…

Fine dissipative properties of Euler solutions with measure first derivatives
Marco Inversi
https://arxiv.org/abs/2510.10704 https://arxiv.org/pdf/2510.107…

Fine dissipative properties of Euler solutions with measure first derivatives
We study fine properties of bounded weak solutions to the incompressible Euler equations whose first derivatives, or only some combinations of them, are Radon measures. As consequences we obtain elementary proofs of the local energy conservation for solutions in BV and BD, without relying on the freedom in choosing the convolution kernel appearing in the approximation of the dissipation. The argument heavily exploits the form of the Euler nonlinearity and it does not apply to the linear transpo…

Optimal gradient estimates for conductivity problems with imperfect low-conductivity interfaces
Hongjie Dong, Haigang Li, Yan Zhao
https://arxiv.org/abs/2510.10615 https://

Optimal gradient estimates for conductivity problems with imperfect low-conductivity interfaces
This paper studies field concentration between two nearly touching conductors separated by imperfect low-conductivity interfaces, modeled by Robin boundary conditions. It is known that for any sufficiently small interfacial bonding parameter $γ> 0$, the gradient remains uniformly bounded with respect to the separation distance $\varepsilon$. In contrast, for the perfect bonding case ($γ= 0$, corresponding to the perfect conductivity problem), the gradient may blow up as $\varepsilon \to 0$ at…

Determining nonlinear balance laws in product-type domains by a single local passive boundary observation
Chaohua Duan, Hongyu Liu, Qingle Meng, Li Wang
https://arxiv.org/abs/2510.10571

Determining nonlinear balance laws in product-type domains by a single local passive boundary observation
This paper introduces an operator-theoretic paradigm for solving inverse problems in nonlinear balance laws, shifting the focus from identifying specific functional forms to recovering the input-output actions of the associated flux and source operators. It is established that a single local passive boundary observation suffices to uniquely determine realizations of these operators for systems posed on product-type domains. This framework, which encompasses dynamical regimes, reveals a holograp…

Regularity Theory for the Space Homogeneous Polyatomic Boltzmann Flow
Ricardo Alonso, Milana \v{C}oli\'c
https://arxiv.org/abs/2510.10523 https://arxiv…

Regularity Theory for the Space Homogeneous Polyatomic Boltzmann Flow
In this paper, we study the polyatomic Boltzmann equation based on continuous internal energy, focusing on physically relevant collision kernels of the hard potentials type with integrable angular part. We establish three main results: smoothing effects of the gain collision operator, propagation of velocity and internal energy first-order derivatives of solutions, and exponential decay estimates for singularities of the initial data. These results ultimately lead to a decomposition theorem, sh…

On the existence of self-similar solutions to the steady Navier-Stokes equations in high dimensions
Jeaheang Bang, Changfeng Gui, Hao Liu, Yun Wang, Chunjing Xie
https://arxiv.org/abs/2510.10488

On the existence of self-similar solutions to the steady Navier-Stokes equations in high dimensions
We prove that the steady incompressible Navier-Stokes equations with any given $(-3)$-homogeneous, locally Lipschitz external force on $\mathbb{R}^n\setminus\{0\}$, $4\leq n\leq 16$, have at least one $(-1)$-homogeneous solution which is scale-invariant and regular away from the origin. The global uniqueness of the self-similar solution is obtained as long as the external force is small. The key observation is to exploit a nice relation between the radial component of the velocity and the total…

Monotonicity and local uniqueness for an isotropic nonlocal elliptic equation
Yi-Hsuan Lin
https://arxiv.org/abs/2510.10408 https://arxiv.org/pdf/2510.1040…

Monotonicity and local uniqueness for an isotropic nonlocal elliptic equation
We extend monotonicity-based inversion methods to an inverse coefficient problem for the isotropic nonlocal elliptic equation \[ (-\nabla \cdot σ\nabla)^s u = 0 \quad \text{in } Ω\subset \mathbb{R}^n, \] where $0 < s < 1$, $n \geq 3$, and $Ω$ is a bounded open set. We establish a monotonicity relation between the leading coefficient $σ$ and the (partial) exterior Dirichlet-to-Neumann (DN) map. Our main result shows that a monotonicity ordering of the coefficients implies a correspon…

Abstract second-order boundary control systems
Till Preuster, Timo Reis, Manuel Schaller
https://arxiv.org/abs/2510.10363 https://arxiv.org/pdf/2510.10363

Abstract second-order boundary control systems
We consider abstract second order systems of the form $\ddot{x}(t) + D \dot{x}(t) + Sx(t)=0$, which are typically analyzed via the operator matrix $\mathcal{A}=\left[\begin{smallmatrix} 0 & I \\ -S & -D \end{smallmatrix}\right]$ governing the free dynamics of the corresponding first-order in time formulation. While previous work (e.g. on spectral properties of) $\mathcal{A}$ has focused on self-adjoint uniformly positive $S$, we consider the more general case which comprises the situation w…

Higher H\"older regularity for degenerate elliptic PDEs with data in Morrey spaces
Giuseppe Di Fazio, Rafayel Teymurazyan, Jos\'e Miguel Urbano
https://arxiv.org/abs/2510.10359

Higher Hölder regularity for degenerate elliptic PDEs with data in Morrey spaces
We establish sharp local $C^{1,α}$-regularity for weak solutions to degenerate elliptic equations of $p$-Laplacian type with data in Morrey spaces. The proof relies on the Fefferman-Phong inequality and standard tools from regularity theory for nonlinear PDEs.

Multiple sign-changing solutions for semilinear subelliptic Dirichlet problem
Hua Chen, Hong-Ge Chen, Jin-Ning Li, Xin Liao
https://arxiv.org/abs/2510.10120 https://

Multiple sign-changing solutions for semilinear subelliptic Dirichlet problem
We study the following perturbation from symmetry problem for the semilinear subelliptic equation \[ \left\{ \begin{array}{cc} -\triangle_{X} u=f(x,u)+g(x,u) & \mbox{in}~Ω, \\[2mm] u\in H_{X,0}^{1}(Ω),\hfill \end{array} \right. \] where $\triangle_{X}=-\sum_{i=1}^{m}X_{i}^{*}X_{i}$ is the self-adjoint sub-elliptic operator associated with Hörmander vector fields $X=(X_{1},X_{2},\ldots,X_{m})$, $Ω$ is an open bounded subset in $\mathbb{R}^n$, and $H_{X,0}^{1}(Ω)$ denotes the weigh…

Weak solutions and weak-strong uniqueness for a compressible power-law-Oldroyd--B fluid model
Yong Lu, Milan Pokorny
https://arxiv.org/abs/2510.10096 https://

Weak solutions and weak-strong uniqueness for a compressible power-law-Oldroyd--B fluid model
We consider a model of a viscoelastic compressible flow in $R^{3}$ which is additionally shear thickening (the stress tensor corresponds to the power law model, however, the divergence of the velocity is due to the model bounded). We prove existence of a weak solution to this model provided the growth in the power law model is larger or equal than $\frac 52$. We also prove that any sufficiently smooth solution of this model is unique in the class of weak solution, provided extra integrability o…

On the Profile of Singularity Formation for the Incompressible Hydrostatic Boussinesq system
Slim Ibrahim, Quyuan Lin, Lingjun Qian, Edriss S. Titi
https://arxiv.org/abs/2510.10090

On the Profile of Singularity Formation for the Incompressible Hydrostatic Boussinesq system
The primitive equations (PEs) model planetary large-scale oceanic and atmospheric dynamics. While it has been shown that there are smooth solutions to the inviscid PEs (also called the hydrostatic Euler equations) with constant temperature (isothermal) that develop stable singularities in finite time, the effect of non-constant temperature on the singularity formation has not been established yet. This paper studies the stability of singularity formation for non-constant temperature in two scen…

The eigentheory for nonlocal cooperative-advective system and its role in the study of free boundary system for directional epidemic models
Soufiane Bentout, Hoang-Hung Vo
https://arxiv.org/abs/2510.10024

A no-contact result for a plate-fluid interaction system in dimension three
Mario Bukal, Igor Kukavica, Linfeng Li, Boris Muha
https://arxiv.org/abs/2510.09992 https://

A no-contact result for a plate-fluid interaction system in dimension three
We address the fluid-structure interaction between a viscous incompressible fluid and an elastic plate forming its moving upper boundary in three dimensions. The fluid is described by the incompressible Navier-Stokes equations with a free upper boundary that evolves according to the motion of the structure, coupled via the velocity- and stress-matching conditions. Under the natural energy bounds and additional regularity assumptions on the weak solutions, we prove a non-contact property with a …

Vectorial Bernoulli Problems and Free Boundary Systems
Giorgio Tortone, Bozhidar Velichkov
https://arxiv.org/abs/2510.09875 https://arxiv.org/pdf/2510.0987…

Vectorial Bernoulli Problems and Free Boundary Systems
In this survey we go through some of the recent results about the regularity of vectorial free boundary problems of Bernoulli type and free boundary systems. The aim is to illustrate the general methodologies as well as to outline a selection of notable open questions.

Analyticity for Double Wall Carbon Nanotubes Modeled as Timoshenko Beams with Kelvin-Voigt and Intermediate Damping
Fredy Maglorio Sobrado Su\'arez, Gilson Tumelero, Jackson Luchesi, Marieli Musial Tumelero, Santos Richard Wieller Sanguino Bejarano
https://arxiv.org/abs/2510.09865

Analyticity for Double Wall Carbon Nanotubes Modeled as Timoshenko Beams with Kelvin-Voigt and Intermediate Damping
This manuscript studies a model of double-walled carbon nanotubes using two Timoshenko beams which are coupled by the Van der Walls force $(y-u)$. Kelvin-Voigt type dampings $(u_x-v)_{xt}$ and $(y_x-z)_{xt}$ and fractional dampings $(-\partial_{xx})^αv_t$ and $(-\partial_{xx})^βz_t$ in both beams have been considered. We show that our proposed model is well established and that the semigroup associated is exponentially stable and analytical for any $(α, β) \in [0, 1]^2$. As a consequence of…

[2025-10-14 Tue (UTC), 25 new articles found for math.AP Analysis of PDEs]
toXiv_bot_toot