Gevrey regularity for the attractor of a partially dissipative model of Bénard convection in a porous medium
type: Item
instance of: scholarly article
title: Gevrey regularity for the attractor of a partially dissipative model of Bénard convection in a porous medium
zbMATH Open document ID: 0949.35025
author: Marcel Oliver
author: E. S. Titi
published in: Journal of Differential Equations
publication date: 2000-11-26T00:00:00Z
review text: The authors study a model for Bernard convection in a porous medium modeled by Darcy's law, where the temperature satisfies an advection-diffusion equation. For some regularity of initial data one shows that the system possesses a global attractor which is contained in a special Gevrey class of regularity.
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35B41
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76R10
Mathematics Subject Classification ID: 76S05
zbMATH DE Number: 1474624
zbMATH Keywords: regularity of initial data
zbMATH Keywords: Darcy's law
zbMATH Keywords: Boussinesq approximation
reviewed by: Valeriu Al. Sava
MaRDI profile type: Publication
full work available at URL: jdeq.1999.3744
OpenAlex ID: W2056984518
cites work: An explicit description of the global attractor of the damped and driven sine-Gordon equation
cites work: The Navier-Stokes equations on the rotating 2-D sphere: Gevrey regularity and asymptotic degrees of freedom
cites work: Q4040820
cites work: Solutions fortes et comportement asymptotique pour un modèle de convection naturelle en milieu poreux. (Strong solutions and asymptotic behaviour for a natural convection problem in porous media)
cites work: Solutions fortes et majorations asymptotiques pour le modèle de Darcy Forchheimer en convection naturelle
cites work: Q4714801
cites work: Editorial board
cites work: Asymptotic analysis of the Navier-Stokes equations
cites work: Gevrey class regularity for the solutions of the Navier-Stokes equations
cites work: Q4167065
cites work: Regularity of the attractor for a weakly damped nonlinear schrödinger equation
cites work: Q3470840
cites work: Q4039920
cites work: Q4114880
cites work: Analyticity of solutions for a generalized Euler equation
cites work: Global Gevrey regularity for the Bénard convection in a porous medium with zero Darcy-Prandtl number
cites work: Analyticity of the attractor and the number of determining nodes for a weakly damped driven nonlinear Schrodinger equation
cites work: Remark on the rate of decay of higher order derivatives for solutions to the Navier-Stokes equations in \(\mathbb{R}^n\)
cites work: Time analyticity and gevrey regularity for solutions of a class of dissipative partial differential equations
cites work: Q3684480
cites work: Infinite-dimensional dynamical systems in mechanics and physics
DOI: 10.1006/JDEQ.1999.3744
description: scientific article; zbMATH DE number 1474624