Dissipative structure for symmetric hyperbolic systems with memory

Shuichi Kawashima, Shogo Taniue

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

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 languageEnglish
Pages (from-to)2053-2064
Number of pages12
JournalScience China Mathematics
Volume61
Issue number11
DOIs
Publication statusPublished - 2018 Nov 1
Externally publishedYes

Keywords

  • 35B40
  • 35L45
  • 74D05
  • dissipative structure
  • hyperbolic systems
  • memory-type dissipation

ASJC Scopus subject areas

  • Mathematics(all)

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