Asymptotics toward the planar rarefaction wave for viscous conservation law in two space dimensions

Masataka Nishikawa*, Kenji Nishihara

*この研究の対応する著者

    研究成果: Article査読

    31 被引用数 (Scopus)

    抄録

    This paper is concerned with the asymptotic behavior of the solution toward the planar rarefaction wave r( j) connecting u+ and u- for the scalar viscous conservation law in two space dimensions. We assume that the initial data U0(X,y) tends to constant states u± as x -»±00, respectively. Then, the convergence rate to r(j) of the solution u(t,i,j/) is investigated without the smallness conditions of |+ -u-| and the initial disturbance. The proof is given by elementary Z/2-energy method.

    本文言語English
    ページ(範囲)1203-1215
    ページ数13
    ジャーナルTransactions of the American Mathematical Society
    352
    3
    出版ステータスPublished - 2000

    ASJC Scopus subject areas

    • 数学 (全般)

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