On the steady flow of compressible viscous fluid and its stability with respect to initial disturbance

Yoshihiro Shibata, Koumei Tanaka

    Research output: Contribution to journalArticle

    28 Citations (Scopus)

    Abstract

    We consider a compressible viscous fluid effected by general form external force in R3. In part 1, an analysis of the linearized problem based on the weighted-L2 method implies a condition on the external force for the existence and some regularities of the steady flow. In part 2, we study the stability of the steady flow with respect to the initial disturbance. What we proved is: if H3-norm of the initial disturbance is small enough, then the solution to the non-stationary problem exists uniquely and globally in time.

    Original languageEnglish
    Pages (from-to)797-826
    Number of pages30
    JournalJournal of the Mathematical Society of Japan
    Volume55
    Issue number3
    Publication statusPublished - 2003 Jul

    Fingerprint

    Compressible Fluid
    Steady Flow
    Viscous Fluid
    Disturbance
    Regularity
    Norm
    Imply
    Form

    Keywords

    • Compressible fluid
    • Navier-Stokes equation
    • Stability
    • Stationary solution

    ASJC Scopus subject areas

    • Mathematics(all)

    Cite this

    On the steady flow of compressible viscous fluid and its stability with respect to initial disturbance. / Shibata, Yoshihiro; Tanaka, Koumei.

    In: Journal of the Mathematical Society of Japan, Vol. 55, No. 3, 07.2003, p. 797-826.

    Research output: Contribution to journalArticle

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