Characterization of the dissipative structure for the symmetric hyperbolic system with non-symmetric relaxation
| Autor: | Yoshihiro Ueda |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Lyapunov function
Physics General Mathematics 010102 general mathematics Non symmetric Mathematics::Analysis of PDEs Characterization (mathematics) 01 natural sciences Hyperbolic systems 010101 applied mathematics symbols.namesake Classical mechanics Symmetric property symbols Dissipative system Relaxation (physics) Relaxation matrix 0101 mathematics Analysis |
| Zdroj: | Journal of Hyperbolic Differential Equations. 18:195-219 |
| ISSN: | 1793-6993 0219-8916 |
| Popis: | This paper is concerned with the dissipative structure for the linear symmetric hyperbolic system with non-symmetric relaxation. If the relaxation matrix of the system has symmetric property, Shizuta and Kawashima in 1985 introduced the suitable stability condition called Classical Stability Condition in this paper, and Umeda, Kawashima and Shizuta in 1984 analyzed the dissipative structure of the standard type. On the other hand, Ueda, Duan and Kawashima in 2012 and 2018 focused on the system with non-symmetric relaxation, and got the partial result which is the extension of known results. Furthermore, they argued the new dissipative structure called the regularity-loss type. In this situation, our purpose of this paper is to extend the stability theory introduced by Shizuta and Kawashima in 1985 and Umeda, Kawashima and Shizuta in 1984 for our general system. |
| Databáze: | OpenAIRE |
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