Results 21 to 30 of about 544 (183)
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 +2 more
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ON THE ANALYTICITY AND GEVREY CLASS REGULARITY UP TO THE BOUNDARY FOR THE EULER EQUATIONS
, 2010 We consider the Euler equations in a three-dimensional Gevrey-class bounded domain. Using Lagrangian coordinates we obtain the Gevrey-class persistence of the solution, up to the boundary, with an explicit estimate on the rate of decay of the Gevrey ...
Vlad Vicol, Igor Kukavica
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Global Solvability of the Generalized Navier−Stokes System in Critical Besov Spaces
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper is devoted to the global solvability of the Navier−Stokes system with a fractional Laplacian (−Δ)α in Rn for n ≥ 2, where the convective term has the form (|u|m−1u)·∇u for m ≥ 1. By establishing the estimates for the difference u1m−1u1−u2m−1u2 in homogeneous Besov spaces and employing the maximal regularity property of (−Δ)α in Lorentz−Besov
Huiyang Zhang +3 more
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Gevrey hypoellipticity for a class of degenerated quasi-elliptic operators [PDF]
, 2003 summary:The problems of Gevrey hypoellipticity for a class of degenerated quasi-elliptic operators are studied by several authors (see [1]--[5]). In this paper we obtain the Gevrey hypoellipticity for a degenerated quasi-elliptic operator in $\Bbb R^2 ...
Margaryan, V. N., Hakobyan, G. O.
core
ITEGAM-JETIAIn this article, we demonstrate the weakly hyperbolic Cauchy problem under Hölder's regularity of a coefficient depending on time in the context of M-ultradifferentiable well-posedness.
Said Bouaziz +2 more
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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 +6 more
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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.
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Inhomogeneous Gevrey classes and ultradistributions
Journal of Mathematical Analysis and Applications, 2004 Starting from the definition of inhomogeneous Gevrey classes given by \textit{O. Liess} and \textit{L. Rodino} [Boll. Unione Mat. Ital., VI. Ser., C, Anal. Funz. Appl. 3, 233--323 (1984; Zbl 0557.35131)], the authors introduce the non-quasi-analytic inhomogeneous Gevrey classes of Roumieu type, denoted by \(G^{s, \lambda}.\) Such a class of ...
Calvo, Daniela +2 more
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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
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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 +6 more
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