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VOL. 64 | 2015 Large time behavior of solutions to symmetric hyperbolic systems with non-symmetric relaxation
Yoshihiro Ueda, Renjun Duan, Shuichi Kawashima

Editor(s) Shin-Ichiro Ei, Shuichi Kawashima, Masato Kimura, Tetsu Mizumachi

Abstract

This article is concerned with the decay structure for linear symmetric hyperbolic systems with relaxation. When the relaxation matrix is symmetric, the dissipative structure of the systems is completely characterized by the Kawashima–Shizuta stability condition formulated in [8], [4]. However, some physical models which satisfy the stability condition have non-symmetric relaxation term (cf. the Timoshenko system and the Euler–Maxwell system). Therefore our purpose of this paper is to formulate a new structural condition and to analyze the weak dissipative structure for general systems with non-symmetric relaxation. This article is a survey of the paper [5].

Information

Published: 1 January 2015
First available in Project Euclid: 30 October 2018

zbMATH: 1342.35168
MathSciNet: MR3381215

Digital Object Identifier: 10.2969/aspm/06410295

Subjects:
Primary: 35B35, 35B40, 35L40

Rights: Copyright © 2015 Mathematical Society of Japan

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