Global stability of strong rarefaction waves of the Jin-Xin relaxation model for the p-system

Kenji Nishihara, Huijiang Zhao, Yinchuan Zhao

    Research output: Contribution to journalArticle

    13 Citations (Scopus)

    Abstract

    This paper is concerned with global stability of strong rarefaction waves of the Jin-Xin relaxation model for the p-system. The proofs are given by an elementary energy method and the existence of a positively invariant region obtained by Serre [Serre, D. (2000). Relaxations semi-lineaire et cinetique des systemes de Lois de conservation. Ann. Inst. H. Poincare Anal. Non Lineaire 17(2):169-192] plays an important role in our analysis.

    Original languageEnglish
    Pages (from-to)1607-1634
    Number of pages28
    JournalCommunications in Partial Differential Equations
    Volume29
    Issue number9-10
    DOIs
    Publication statusPublished - 2004 Sep

    Keywords

    • Global stability
    • Jin-Xin relaxation model
    • p-System
    • Strong rarefaction wave

    ASJC Scopus subject areas

    • Mathematics(all)
    • Analysis
    • Applied Mathematics

    Fingerprint Dive into the research topics of 'Global stability of strong rarefaction waves of the Jin-Xin relaxation model for the p-system'. Together they form a unique fingerprint.

  • Cite this