Results 11 to 20 of about 160 (145)

Analyticity and Existence of the Keller–Segel–Navier–Stokes Equations in Critical Besov Spaces

Advanced Nonlinear Studies, 2018
This paper deals with the Cauchy problem to the Keller–Segel model coupled with the incompressible 3-D Navier–Stokes equations. Based on so-called Gevrey regularity estimates, which are motivated by the works of Foias and Temam [20], we prove that the ...
Yang Minghua, Fu Zunwei, Liu Suying
doaj   +1 more source

Gevrey-Type Resolvent Estimates at the Threshold for a Class of Non-Selfadjoint Schrödinger Operators

Bruno Pini Mathematical Analysis Seminar, 2015
In this article, we show that under some coercive assumption on the complex-valued potential V(x), the derivatives of the resolvent of the non-selfadjoint Schröinger operator H = −∆ + V(x) satisfy some Gevrey estimates at the threshold zero.
Xue Ping Wang
doaj   +1 more source

Gevrey class regularity of the magnetohydrodynamics equations [PDF]

The ANZIAM Journal, 2002
AbstractIn this article, we use the method of Foias and Temam to show that the strong solutions of the time-dependent magnetohydrodynamics equations in a periodic domain are analytic in time with values in a Gevrey class of functions. As immediate corollaries we find that the solutions are analytic in Hr-norms and that the solutions become smooth ...
openaire   +2 more sources

Propagation of Gevrey Regularity for a Class of Hypoelliptic Equations [PDF]

Transactions of the American Mathematical Society, 1996
We prove results on the propagation of Gevrey and analytic wave front sets for a class of C ∞
Bove, Antonio, Tartakoff, David S.
openaire   +2 more sources

Gevrey class regularity for parabolic equations

Differential and Integral Equations, 2001
We consider the regularity of parabolic equations. We obtain that the solution belongs to Gevrey class 2 up to the boundary if functions in the equation belong to Gevrey class 2 in all dependent variables.
Lee, Pei-Ling, Guo, Yung-Jen Lin
openaire   +3 more sources

Paradifferential calculus in Gevrey classes

Kyoto Journal of Mathematics, 2001
The paper presents a paradifferential calculus adapted to the study of nonlinear partial differential equations in Gevrey classes. Namely, in the second section of the paper the authors consider Gevrey-Sobolev spaces \(H^s_{\lambda,\sigma}\) defined by the norms \[ \biggl \|\exp \bigl(\lambda |D|^{1/ \sigma}\bigr)u \biggr\|_{H^s(\mathbb{R}^n)}.
Hua, Chen, Rodino, Luigi
openaire   +2 more sources

An Algebraic Study of Parametric Stokes Phenomena

Studies in Applied Mathematics, Volume 157, Issue 1, July 2026.
ABSTRACT We investigate geometric aspects of co‐equational parametric resurgence, by studying physical problems whose formal asymptotic solutions give rise to Borel transforms lying on an algebraic curve. This perspective allows us to elucidate concepts unique to parametric resurgence such as singularity structures, (virtual) turning points, and the ...
Inês Aniceto, Samuel Crew
wiley   +1 more source

Well-Posedness in M-Ultradifferentiable Spaces for Weakly Hyperbolic Cauchy Problems with Hölder Continuous Coefficients

ITEGAM-JETIA
In 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, Khaled Benmeriem, Laid Gasmi   +2 more
doaj   +1 more source

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