Dissipative structure and entropy for hyperbolic systems of balance laws

S. Kawashima, W. A. Yong

    Research output: Contribution to journalArticlepeer-review

    65 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 - Dec 2004

    All Science Journal Classification (ASJC) codes

    • Analysis
    • Mathematics (miscellaneous)
    • Mechanical Engineering

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