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

Kenji Nishihara*, Huijiang Zhao

*この研究の対応する著者

    研究成果: Article査読

    10 被引用数 (Scopus)

    抄録

    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].

    本文言語English
    ページ(範囲)447-466
    ページ数20
    ジャーナルJournal of the Mathematical Society of Japan
    54
    2
    出版ステータスPublished - 2002 4

    ASJC Scopus subject areas

    • 数学 (全般)

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