Mathematical entropy and Euler-Cattaneo-Maxwell system

Shuichi Kawashima; Yoshihiro Ueda

doi:10.1142/S0219530515400035

Mathematical entropy and Euler-Cattaneo-Maxwell system

Shuichi Kawashima, Yoshihiro Ueda

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we introduce a notion of the mathematical entropy for hyperbolic systems of balance laws with (not necessarily symmetric) relaxation. As applications, we deal with the Timoshenko system, the Euler-Maxwell system and the Euler-Cattaneo-Maxwell system. Especially, for the Euler-Cattaneo-Maxwell system, we observe that its dissipative structure is of the regularity-loss type and investigate the corresponding decay property. Furthermore, we prove the global existence and asymptotic stability of solutions to the Euler-Cattaneo-Maxwell system for small initial data.

Original language	English
Pages (from-to)	101-143
Number of pages	43
Journal	Analysis and Applications
Volume	14
Issue number	1
DOIs	https://doi.org/10.1142/S0219530515400035
Publication status	Published - Jan 1 2016

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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