Results 11 to 20 of about 544 (183)
Gevrey-Class-3 Regularity of the Linearised Hyperbolic Prandtl System on a Strip [PDF]
, 2023 In the present paper, we address a physically-meaningful extension of the linearised Prandtl equations around a shear flow. Without any structural assumption, it is well-known that the optimal regularity of Prandtl is given by the class Gevrey 2 along ...
Francesco De Anna +5 more
core +1 more source
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
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 regularity for a class of sums of squares of monomial vector fields [PDF]
, 2020 Analytic or Gevrey hypoellipticity is proved for a class of sums of squares of vector fields having a symplectic characteristic manifold of dimension 2 and arbitrary (even) codimension.
Bove A., Mughetti M.
core +1 more source
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
On some generalizations of Gevrey classes
Mathematische Nachrichten, 2011 The research of M. Carmen Gomez-Collado was partially supported by FEDER and MEC, Proyect No. MTM2007-62643, and Project No. MTM2010-15200.
Daniela Calvo +1 more
openaire +3 more sources
Gevrey regularity for integro-differential operators [PDF]
, 2013 We prove a regularity theory in the Gevrey class for a family of nonlocal differential equations of elliptic ...
Fiscella, Alessio +2 more
core +1 more source
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