Characterization of Dissipative Structures for First-Order Symmetric Hyperbolic System with General Relaxation

被引：0
|
作者：
Maekawa, Yasunori [1 ]
Ueda, Yoshihiro [2 ]
机构：
[1] Kyoto Univ, Grad Sch Sci, Dept Math, Sakyo Ku, Kitashirakawa Oiwake Cho, Kyoto 6068502, Japan
[2] Kobe Univ, Fac Maritime Sci, Higashinada Ku, 5-1-1 Fukaeminami Machi, Kobe, Hyogo 6580022, Japan
来源：
MATHEMATICS | 2021年 / 9卷 / 07期
关键词：
symmetric hyperbolic system with relaxation; dissipative structure; time decay with regularity-loss;
D O I：
10.3390/math9070728
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the dissipative structure of first-order linear symmetric hyperbolic system with general relaxation and provide the algebraic characterization for the uniform dissipativity up to order 1. Our result extends the classical Shizuta-Kawashima condition for the case of symmetric relaxation, with a full generality and optimality.
引用
收藏
页数：34
相关论文
共 50 条
12345