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

44 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

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