Abstract
We study symmetric hyperbolic systems with memory-type dissipation and investigate their dissipative structures. We treat two cases: memory-type diffusion and memory-type relaxation, and observe that the dissipative structures of these two cases are essentially different. Namely, we show that the dissipative structure of the system with memory-type diffusion is of the standard type, while that of the system with memory-type relaxation is of the regularity-loss type.
| Original language | English |
|---|---|
| Pages (from-to) | 1-12 |
| Number of pages | 12 |
| Journal | Science China Mathematics |
| DOIs | |
| Publication status | Accepted/In press - 2018 Jun 29 |
| Externally published | Yes |
Keywords
- dissipative structure
- hyperbolic systems
- memory-type dissipation
ASJC Scopus subject areas
- Mathematics(all)
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Cite this
Kawashima, S., & Taniue, S. (Accepted/In press). Dissipative structure for symmetric hyperbolic systems with memory. Science China Mathematics, 1-12. https://doi.org/10.1007/s11425-017-9291-y