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

    Fingerprint

    Rarefaction Wave
    Global Stability
    Conservation
    Invariant Region
    Energy Method
    Poincaré
    Model

    Keywords

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

    ASJC Scopus subject areas

    • Mathematics(all)
    • Analysis
    • Applied Mathematics

    Cite this

    Global stability of strong rarefaction waves of the Jin-Xin relaxation model for the p-system. / Nishihara, Kenji; Zhao, Huijiang; Zhao, Yinchuan.

    In: Communications in Partial Differential Equations, Vol. 29, No. 9-10, 09.2004, p. 1607-1634.

    Research output: Contribution to journalArticle

    Nishihara, Kenji ; Zhao, Huijiang ; Zhao, Yinchuan. / Global stability of strong rarefaction waves of the Jin-Xin relaxation model for the p-system. In: Communications in Partial Differential Equations. 2004 ; Vol. 29, No. 9-10. pp. 1607-1634.
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