Uniform attractors for non-autonomous Brinkman-Forchheimer equations with delay
type: Item
instance of: scholarly article
title: Uniform attractors for non-autonomous Brinkman-Forchheimer equations with delay
zbMATH Open document ID: 1275.35047
author: Jum-Ran Kang
author: Jong Yeoul Park
publication date: 2013-05-14T00:00:00Z
review text: \textit{D. Uğurlu} [Nonlinear Anal., Theory Methods Appl. 68, No. 7, A, 1986--1992 (2008; Zbl 1137.35316)] studied the existence of the global attractor for the Brinkman-Forchheimer equation in \(H^1(\Omega)\) when the external forcing term belongs to \(L^2(\Omega)\) and \textit{B. Wang} and \textit{S. Lin} [Math. Methods Appl. Sci. 31, No. 12, 1479--1495 (2008; Zbl 1146.35322)] investigated the existence of the global attractor for the Brinkman-Forchheimer equation in \(H^2(\Omega)\). Motivated by above papers, the authors proved the existence of uniform attractor for the Brinkman-Forchheimer equations with general decay and external force which is translation compact in \(L^2_{\text{loc}}(\mathbb R; L^2(\Omega))\).
Mathematics Subject Classification ID: 35B41
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 6162880
zbMATH Keywords: translation compact
MaRDI profile type: Publication
full work available at URL: s10114-013-1392-0
OpenAlex ID: W2070688503
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DOI: 10.1007/S10114-013-1392-0
published in: Acta Mathematica Sinica, English Series
description: scientific article; zbMATH DE number 6162880