Dissipative structure and entropy for hyperbolic systems of balance laws

Shuichi Kawashima; W. A. Yong

doi:10.1007/s00205-004-0330-9

Dissipative structure and entropy for hyperbolic systems of balance laws

Shuichi Kawashima, W. A. Yong

Department of Mathematical Sciences

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

53 Citations (Scopus)

Abstract

In this paper, we introduce an entropy condition for hyperbolic systems of balance laws. Under this condition, we use the Chapman-Enskog expansion to derive the corresponding viscous conservation laws. Further structural conditions are discussed in order to develop (local and global) existence theories for the balance laws and viscous conservation laws.

Original language	English
Pages (from-to)	345-364
Number of pages	20
Journal	Archive for Rational Mechanics and Analysis
Volume	174
Issue number	3
DOIs	https://doi.org/10.1007/s00205-004-0330-9
Publication status	Published - Dec 1 2004

All Science Journal Classification (ASJC) codes

Analysis
Mathematics (miscellaneous)
Mechanical Engineering

Access to Document

10.1007/s00205-004-0330-9

Cite this

@article{a3eb48cb76b74b39afa0709b47197008,

title = "Dissipative structure and entropy for hyperbolic systems of balance laws",

abstract = "In this paper, we introduce an entropy condition for hyperbolic systems of balance laws. Under this condition, we use the Chapman-Enskog expansion to derive the corresponding viscous conservation laws. Further structural conditions are discussed in order to develop (local and global) existence theories for the balance laws and viscous conservation laws.",

author = "Shuichi Kawashima and Yong, {W. A.}",

year = "2004",

month = dec,

day = "1",

doi = "10.1007/s00205-004-0330-9",

language = "English",

volume = "174",

pages = "345--364",

journal = "Archive for Rational Mechanics and Analysis",

issn = "0003-9527",

publisher = "Springer New York",

number = "3",

}

TY - JOUR

T1 - Dissipative structure and entropy for hyperbolic systems of balance laws

AU - Kawashima, Shuichi

AU - Yong, W. A.

PY - 2004/12/1

Y1 - 2004/12/1

N2 - In this paper, we introduce an entropy condition for hyperbolic systems of balance laws. Under this condition, we use the Chapman-Enskog expansion to derive the corresponding viscous conservation laws. Further structural conditions are discussed in order to develop (local and global) existence theories for the balance laws and viscous conservation laws.

AB - In this paper, we introduce an entropy condition for hyperbolic systems of balance laws. Under this condition, we use the Chapman-Enskog expansion to derive the corresponding viscous conservation laws. Further structural conditions are discussed in order to develop (local and global) existence theories for the balance laws and viscous conservation laws.

UR - http://www.scopus.com/inward/record.url?scp=12444288058&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=12444288058&partnerID=8YFLogxK

U2 - 10.1007/s00205-004-0330-9

DO - 10.1007/s00205-004-0330-9

M3 - Article

AN - SCOPUS:12444288058

VL - 174

SP - 345

EP - 364

JO - Archive for Rational Mechanics and Analysis

JF - Archive for Rational Mechanics and Analysis

SN - 0003-9527

IS - 3

ER -

Dissipative structure and entropy for hyperbolic systems of balance laws

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this