Dissipative structure and entropy for hyperbolic systems of balance laws

Shuichi Kawashima, W. A. Yong

Research output: Contribution to journalArticle

43 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 languageEnglish
Pages (from-to)345-364
Number of pages20
JournalArchive for Rational Mechanics and Analysis
Volume174
Issue number3
DOIs
Publication statusPublished - 2004 Dec 1
Externally publishedYes

Fingerprint

Viscous Conservation Laws
Dissipative Structure
Balance Laws
Hyperbolic Systems
Conservation
Entropy
Chapman-Enskog Expansion
Entropy Condition
Existence Theory
Local Existence
Global Existence

ASJC Scopus subject areas

  • Analysis
  • Mathematics (miscellaneous)
  • Mechanical Engineering

Cite this

Dissipative structure and entropy for hyperbolic systems of balance laws. / Kawashima, Shuichi; Yong, W. A.

In: Archive for Rational Mechanics and Analysis, Vol. 174, No. 3, 01.12.2004, p. 345-364.

Research output: Contribution to journalArticle

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