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

Yoshiyuki Kagei, Masatoshi Okita

    Research output: Contribution to journalArticlepeer-review

    4 Citations (Scopus)

    Abstract

    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.

    Original languageEnglish
    Pages (from-to)297-317
    Number of pages21
    JournalJournal of Mathematical Analysis and Applications
    Volume445
    Issue number1
    DOIs
    Publication statusPublished - Jan 1 2017

    All Science Journal Classification (ASJC) codes

    • Analysis
    • Applied Mathematics

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