Tootfinder

Monkeys falling from trees and baking barnacles: how heat is driving animals to extinction https://www.theguardian.com/environment/2025/aug/20/monkeys-falling-trees-baking-barnacles-heat-driving-animals-extinction-c…

"Monkeys falling from trees and baking barnacles: how heat is driving animals to extinction"
#Climate #ClimateChange #Animals

Sharp Boundary Growth Rate Estimate of the Singular Equation $-\Delta u=u^{-\gamma}$ in a Critical Cone
Leyun Wu, Chilin Zhang
https://arxiv.org/abs/2507.16319

Sharp Boundary Growth Rate Estimate of the Singular Equation $-Δu=u^{-γ}$ in a Critical Cone
For $γ>0$, we study the sharp boundary growth rate estimate of solutions to the Dirichlet problem of the singular Lane-Emden-Fowler equation \begin{equation*} -Δu=u^{-γ} \end{equation*} in a critical $C^{1,1}$ epigraphical cone $Cone_Σ$. We show that the growth rate estimate exhibits fundamentally different behaviors in the following three cases: $1<γ<2$, $γ=2$, and $γ>2$. Moreover, we obtain the sharp growth rate estimate near the origin for $γ>1$. As a consequence, we show that wh…

Non-linear estimators for the observation and stabilisation of falling liquid films
Oscar Holroyd, Radu Cimpeanu, Susana N. Gomes
https://arxiv.org/abs/2506.16987

Non-linear estimators for the observation and stabilisation of falling liquid films
Falling liquid films are complex physical processes modelled by infinite-dimensional dynamical systems. The interfacial behaviour is characterised by the Reynolds number, a nondimensional parameter, and above a critical value the uniform film becomes unstable and travelling waves occur. By injecting and removing fluid from the base at discrete locations, we aim to stabilise otherwise unstable flat interfaces, with the additional limitation that observations of the state are restricted to finite…

Yesterday managed to see at least a half dozen bands for #Kenmore Porchfest (#Buffalo). I only remembered to take one pic (at this RAtM cover band, Anger Is a Gift). They did a great job and the hosts had a cooler of water for everyone.
Kudos to everyone involved in the day.

Lunar exosphere dynamics at the north pole following Perseid 2009 meteoroid impacts
Alexey A. Berezhnoy, Maria Gritsevich, Ekaterina A. Feoktistova, Markku Nissinen, Yuri V. Pakhomov, Vladislav V. Shevchenko
https://arxiv.org/abs/2507.17223

Lunar exosphere dynamics at the north pole following Perseid 2009 meteoroid impacts
Observations of the lunar exosphere provide valuable insights into dynamic processes affecting the Moon, such as meteoroid bombardment. The Chamberlain model was employed to estimate the zenith column density and temperature of Na atoms on August 13/14, 2009, after the peak of the Perseid meteor shower. Additionally, the column density and temperature of Na atoms delivered to the lunar exosphere by gradual processes during the peak on August 12/13, 2009, were estimated. Expected ratios of line-…

Vikes' Metellus practices following spring 'hold-in' https://www.espn.com/nfl/story/_/id/45807863/josh-metellus-practices-vikings-spring-hold-in

Computational Complexity of Model-Checking Quantum Pushdown Systems
Deren Lin, Tianrong Lin
https://arxiv.org/abs/2506.18439 https://…

Computational Complexity of Model-Checking Quantum Pushdown Systems
In this paper, we study the problem of model-checking quantum pushdown systems from a computational complexity point of view. We arrive at the following equally important, interesting new results: We first extend the notions of the {\it probabilistic pushdown systems} and {\it Markov chains} to their quantum analogues and investigate the question of whether it is necessary to define a quantum analogue of {\it probabilistic computational tree logic} to describe the probabilistic and branching-…

Well-posedness and long-time behavior of a bulk-surface Cahn--Hilliard model with non-degenerate mobility
Jonas Stange
https://arxiv.org/abs/2507.16508 htt…

Well-posedness and long-time behavior of a bulk-surface Cahn--Hilliard model with non-degenerate mobility
We study a bulk-surface Cahn--Hilliard model with non-degenerate mobility and singular potentials in two dimensions. Following the ideas of the recent work by Conti, Galimberti, Gatti, and Giorgini [Calc. Var. Partial Differential Equations, 64(3):Paper No. 87, 32, 2025] for the Cahn--Hilliard equation with homogeneous Neumann boundary conditions, we show the uniqueness of weak solutions together with a continuous dependence estimate for sufficiently regular mobility functions. Next, under weak…

Ricky Pearsall, 49ers motivated by Brock Purdy's new contract entering 2025 season https://www.nfl.com/news/ricky-pearsall-49ers-motivated-by-brock-purdy-s-new-contract-entering-2025-season