Results 31 to 40 of about 3,445 (164)

On the stability of vacuum in the screened Vlasov–Poisson equation

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract We study the asymptotic behavior of small data solutions to the screened Vlasov–Poisson equation on Rd×Rd$\mathbb {R}^d\times \mathbb {R}^d$ near vacuum. We show that for dimensions d⩾2$d\geqslant 2$, under mild assumptions on localization (in terms of spatial moments) and regularity (in terms of at most three Sobolev derivatives) solutions ...
Mikaela Iacobelli, Stefano Rossi, Klaus Widmayer   +2 more
wiley   +1 more source

Partial hyperbolicity and partial gevrey classes

Journal of Differential Equations, 1981
Let P(D) be a linear partial differential operator of order m > 0 with constant coefficients in R” + ‘. Let d = (d,, d, ,..., d,) E R”+ i, 0 0 be an integer.
openaire   +1 more source

Evaluating Environmental Predictors of Fish Community Composition in a Semi‐Arid River System Using a Model‐Based Approach

Ecology of Freshwater Fish, Volume 34, Issue 3, July 2025.
ABSTRACT Understanding how the environment shapes species distribution and affects biodiversity patterns is important in ecology and conservation. Environmental stressors like climate change and anthropogenic impacts may lead to a significant decline in aquatic biodiversity.
Mojgan Zare Shahraki, Pejman Fathi, Sami Domisch, Andreas Bruder, Eisa Ebrahimi Dorcheh, Alireza Esmaeili Ofogh, Thomas Mehner   +6 more
wiley   +1 more source

Improved Gevrey‐1 Estimates of Formal Series Expansions of Center Manifolds

Studies in Applied Mathematics, Volume 154, Issue 6, June 2025.
ABSTRACT In this paper, we show that the coefficients ϕn$\phi _n$ of the formal series expansions ∑n=1∞ϕnxn∈xC[[x]]$\sum _{n=1}^\infty \phi _n x^n\in x\mathbb {C}[[x]]$ of center manifolds of planar analytic saddle‐nodes grow like Γ(n+a)$\Gamma (n+a)$ (after rescaling x$x$) as n→∞$n\rightarrow \infty$.
Kristian Uldall Kristiansen
wiley   +1 more source

Newton Polygons and Formal Gevrey Classes

Publications of the Research Institute for Mathematical Sciences, 1990
Untersucht wird ein Cauchyproblem \(Pu=f(t,x)\), \(D^ j_ tu|_{t=0}=g_ j\) (0\(\leq j\leq m-1)\) wobei P die Form hat \(P=D_ t^ m+\sum_{0\leq jm\) ist. Hierzu existiert eine eindeutige Lösung \(u\in G^{\infty}\), nämlich als eine formale Potenzreihe. Gezeigt wird: es ist \(u\in G^ s\) mit \(s=1+1/k_ 1\).
openaire   +3 more sources

Global Warming Has Imbalance Impact on Soil Nitrogen Transformation Rates

Earth's Future, Volume 13, Issue 3, March 2025.
Abstract Global warming is projected to significantly influence soil nitrogen (N) transformations, yet a comprehensive understanding of the spatial distribution of these effects and the underlying driving factors at a large scale remains limited. This study employs a Random Forest model to develop nonlinear temperature sensitivity (Q10) models for soil
Di Zhao, Jie Qiu, Zhen Fan, Chaopu Ti, Zelin Huang, Xiaoyuan Yan, Yongqiu Xia   +6 more
wiley   +1 more source

Global existence of 3D rotating magnetohydrodynamic equations arising from Earth's fluid core

Networks and Heterogeneous Media
The paper is concerned with the three-dimensional magnetohydrodynamic equations in the rotational framework concerning with fluid flow of Earth's core and the variation of the Earth's magnetic field.
Jinyi Sun, Weining Wang, Dandan Zhao
doaj   +1 more source

New Lower Bounds of Spatial Analyticity Radius for the Kawahara Equation

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
In this paper, an algebraic decay rate for the radius of spatial analyticity of solutions to the Kawahara equation ∂tu+β∂x5u+α∂x3u+u∂xu=00,β≠ is investigated. With given analytic initial data having a fixed radius of analyticity σ0, we derive an algebraic decay rate σ(t) ~ |t|−1/2 for the uniform radius of spatial analyticity of solutions to the ...
Tegegne Getachew, Jaume Giné
wiley   +1 more source

Solvability of a system of totally characteristic equations related to Kahler metrics

Electronic Journal of Differential Equations, 2017
We consider a system of equations composed of a higher order singular partial differential equation of totally characteristic type and several higher order non-Kowalevskian linear equations. This system is a higher order version of a system that arose
Jose Ernie C. Lope, Mark Philip F. Ona
doaj