Large-time behavior of solutions to hyperbolic-elliptic coupled systems
type: Item
instance of: scholarly article
title: Large-time behavior of solutions to hyperbolic-elliptic coupled systems
zbMATH Open document ID: 1073.35039
author: Shuichi Kawashima
author: Yoshiko Nikkuni
author: Shinya Nishibata
published in: Archive for Rational Mechanics and Analysis
publication date: 2004-09-22T00:00:00Z
review text: The authors continue their study of the hyperbolic-elliptic system derived in [Monogr. Surv. Pure Appl. Math. 99, 87--127 (1998; Zbl 0942.35048)]. They generalize their previous results and prove the global existence and the asymptotic decay of solutions for small initial data in a suitable Sobolev space. Moreover, they show that solutions are well-approximated, for large time, by solutions to the corresponding hyperbolic-parabolic coupled system. The results are obtained by deriving \textit{a priori} estimates as well as by the spectral analysis of solutions to the linearized problem.
reviewed by: Grzegorz Karch
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 2102290
zbMATH Keywords: radiation hydrodynamics
zbMATH Keywords: asymptotic decay
zbMATH Keywords: spectral analysis
zbMATH Keywords: small initial data
MaRDI profile type: Publication
full work available at URL: s00205-003-0273-6
OpenAlex ID: W1993155885
DOI: 10.1007/S00205-003-0273-6
description: scientific article; zbMATH DE number 2102290