Dissipative structure for symmetric hyperbolic systems with memory

Shuichi Kawashima; Shogo Taniue

doi:10.1007/s11425-017-9291-y

Dissipative structure for symmetric hyperbolic systems with memory

Shuichi Kawashima, Shogo Taniue

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

4 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 language	English
Pages (from-to)	2053-2064
Number of pages	12
Journal	Science China Mathematics
Volume	61
Issue number	11
DOIs	https://doi.org/10.1007/s11425-017-9291-y
Publication status	Published - 2018 Nov 1
Externally published	Yes

Keywords

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

ASJC Scopus subject areas

Mathematics(all)

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10.1007/s11425-017-9291-y

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title = "Dissipative structure for symmetric hyperbolic systems with memory",

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.",

keywords = "35B40, 35L45, 74D05, dissipative structure, hyperbolic systems, memory-type dissipation",

author = "Shuichi Kawashima and Shogo Taniue",

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doi = "10.1007/s11425-017-9291-y",

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AU - Kawashima, Shuichi

AU - Taniue, Shogo

N1 - Funding Information: This work was supported by Grant-in-Aid for Scientific Research (Grant No. 25220702). Publisher Copyright: © 2018, Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature.

PY - 2018/11/1

Y1 - 2018/11/1

N2 - 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.

AB - 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.

KW - 35B40

KW - 35L45

KW - 74D05

KW - dissipative structure

KW - hyperbolic systems

KW - memory-type dissipation

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JO - Science China Mathematics

JF - Science China Mathematics

SN - 1674-7283

IS - 11

ER -

Dissipative structure for symmetric hyperbolic systems with memory

Abstract

Keywords

ASJC Scopus subject areas

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