Convergence rates to viscous shock profile for general scalar viscous conservation laws with large initial disturbance

Kenji Nishihara, Huijiang Zhao

    Research output: Contribution to journalArticlepeer-review

    9 Citations (Scopus)

    Abstract

    This paper is concerned with the convergence rates to viscous shock profile for general scalar viscous conservation laws. Compared with former results in this direction, the main novelty in this paper lies in the fact that the initial disturbance can be chosen arbitrarily large. This answers positively an open problem proposed by A. Matsumura in [12] and K. Nishihara in [16]. Our analysis is based on the L1-stability results obtained by H. Freistühler and D. Serre in [1].

    Original languageEnglish
    Pages (from-to)447-466
    Number of pages20
    JournalJournal of the Mathematical Society of Japan
    Volume54
    Issue number2
    Publication statusPublished - 2002 Apr

    Keywords

    • Convergence rate
    • Large initial disturbance
    • Viscous shock profile

    ASJC Scopus subject areas

    • Mathematics(all)

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