Asymptotic profiles for the compressible Navier–Stokes equations in the whole space

Yoshiyuki Kagei, Masatoshi Okita

    研究成果: ジャーナルへの寄稿学術誌査読

    4 被引用数 (Scopus)

    抄録

    This paper is concerned with the large time behavior of strong solutions of the compressible Navier–Stokes equation in the whole space Rn(n≥3) around the constant state. It was shown by Kawashima, Matsumura and Nishida (1979) and Hoff and Zumbrun (1995) that the perturbation of the constant state is time-asymptotic to a solution of the linearized problem, that is, a first-order asymptotic profile. In this paper a second-order asymptotic profile of the solution, which is caused by the nonlinear effect, is given.

    本文言語英語
    ページ(範囲)297-317
    ページ数21
    ジャーナルJournal of Mathematical Analysis and Applications
    445
    1
    DOI
    出版ステータス出版済み - 1月 1 2017

    !!!All Science Journal Classification (ASJC) codes

    • 分析
    • 応用数学

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