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

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 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)

Access to Document

10.1007/s11425-017-9291-y

Fingerprint Dive into the research topics of 'Dissipative structure for symmetric hyperbolic systems with memory'. Together they form a unique fingerprint.

Cite this

@article{4e850d09b11e4d9b89daad4f153f1318,

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",

note = "Funding Information: This work was supported by Grant-in-Aid for Scientific Research (Grant No. 25220702). Publisher Copyright: {\textcopyright} 2018, Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature. Copyright: Copyright 2018 Elsevier B.V., All rights reserved.",

year = "2018",

month = nov,

day = "1",

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

language = "English",

volume = "61",

pages = "2053--2064",

journal = "Science China Mathematics",

issn = "1674-7283",

publisher = "Science in China Press",

number = "11",

}

TY - JOUR

T1 - Dissipative structure for symmetric hyperbolic systems with memory

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. Copyright: Copyright 2018 Elsevier B.V., All rights reserved.

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

UR - http://www.scopus.com/inward/record.url?scp=85049139080&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85049139080&partnerID=8YFLogxK

U2 - 10.1007/s11425-017-9291-y

DO - 10.1007/s11425-017-9291-y

M3 - Article

AN - SCOPUS:85049139080

VL - 61

SP - 2053

EP - 2064

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

Access to Document

Other files and links

Cite this