Tootfinder

Mass threshold for global existence in chemotaxis systems with critical flux limitation
Xuan Mao, Hengling Wang, Jianlu Yan
https://arxiv.org/abs/2507.19866 https://

Mass threshold for global existence in chemotaxis systems with critical flux limitation
This paper investigates the flux-limited chemotaxis system, proposed by Kohatsu and Senba~(2025), \begin{equation*} \begin{cases} u_t = Δu -\nabla\cdot(u|\nabla v|^{α-2}\nabla v),\\ \:\:0=Δv + u, \end{cases} \end{equation*} posed in the unit ball of $\mathbb{R}^N$ for some $N\geq2$, subject to no-flux and homogeneous Dirichlet boundary conditions. Due to precedents, e.g., Tello (2022) and Winkler (2022), the exponent $α= \frac{N}{N-1}$ is the threshold for finite-time blow-up …

18,500 soldiers convicted in Russia of desertion or unauthorized absence since 2022, analysis finds: https://benborges.xyz/2025/08/19/soldiers-convicted-in-russia-of.html

I need to dispel some table accessibility myths.
1. `<thead>` and `<tbody>` are not exposed to users. Using `<thead>` to wrap multiple header rows has no effect (and you shouldn’t have multiple header rows). Partial ref: https://adrianroselli.com/2022/02/colu

Column Headers and Browser Support
Data tables need column headers. Monolitten, a granite column of humans (each with a head) at Vigelandsanlegget, a sculpture park in Frognerparken in Oslo, Norway. What they probably do not need is a new set of column headers every few rows, particularly not when they change the meaning of the…

Time For 9 o'clock #HashTagGames hosted by @… Let's play!
#SourCandyASongOrPoem

Another data point - flights to/from #Japan and the #UnitedStates #US are the cheapest I've seen since, basically, the border reopened to tourism back in 2022.

What have I learned from music? #music https://muz4now.com/2022/what-have-i-learned-from-music

What have I learned from music?
Stan Stewart - @muz4now

This was a particularly good #wine brought back from #Argentina
Shared with good people during a good English summer evening.

Extremely hot day in the Netherlands again, especially in the South. In over a century of records until 2019, no station in the country had ever reached a temperature of 39°C.
Today was the third time the city of Maastricht saw it happen, and this was by far the earliest in summer for any station.
#heatwave

The spectral Tur\'{a}n problem: Characterizing spectral-consistent graphs
Longfei Fang, Huiqiu Lin, Mingqing Zhai
https://arxiv.org/abs/2508.12070 https://

The spectral Turán problem: Characterizing spectral-consistent graphs
Let ${\rm EX}(n,H)$ and ${\rm SPEX}(n,H)$ denote the families of $n$-vertex $H$-free graphs with the maximum size and the maximum spectral radius, respectively. A graph $H$ is said to be spectral-consistent if ${\rm SPEX}(n,H)\subseteq {\rm EX}(n,H)$ for sufficiently large $n$. A fundamental problem in spectral extremal graph theory is to determine which graphs are spectral-consistent. Cioabă, Desai and Tait [European J. Combin. 99 (2022) 103420] proposed the following conjecture: Let $H$ be…

🇺🇦 #NowPlaying on #BBC6Music's #6MusicsJukebox
Shygirl:
🎵 Woe (6 Music Session, 11 Oct 2022)
#Shygirl
https://felipemp3.bandcamp.com/track/sabrina-carpenter-shygirl-woe-woe-please-please-please-mp3
https://open.spotify.com/track/28xeM58xfbn0ahMEfjAsHP

Can't help but feel that all of the editorials criticising the Online Safety Act might have been better published at any point between March 2022 and September 2023.

Time For 9 o'clock #HashTagGames hosted by @… Let's play!
#AquariumABookOrPlay

Gender Differences in International Research Collaboration in European Union
Elsa Fontainha, Tanya Ara\'ujo
https://arxiv.org/abs/2507.00619 https://…

Gender Differences in International Research Collaboration in European Union
This paper investigates International Research Collaboration (IRC) among European Union (EU) countries from 2011 to 2022, with emphasis on gender-based authorship patterns. Drawing from the Web of Science Social Science Citation Index (WoS-SSCI) database, a large dataset of IRC articles was constructed, annotated with categories of authorship based on gender, author affiliation, and COVID-19 subject as topic. Using network science, the study maps collaboration structures and reveals gendered di…

Saw a bit of a general knowledge gameshow the other day where the question was something like "Which woman became the UK's shortest-serving Prime Minister in 2022?" and the contestant absolutely blanked on it.

🇺🇦 #NowPlaying on #BBC6Music's #6MusicsJukebox
Anna Calvi:
🎵 Ain't No Grave (6 Music Session, 19 May 2022)
#AnnaCalvi
https://annacalvi.bandcamp.com/track/aint-no-grave
https://open.spotify.com/track/5EioJrDfnqs6OiCTRxSGn1