Dissipative structure for symmetric hyperbolic systems with memory

Shuichi Kawashima*, Shogo Taniue

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


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
Issue number11
Publication statusPublished - 2018 Nov 1
Externally publishedYes


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

ASJC Scopus subject areas

  • General Mathematics


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