Remark on the stability of the large stationary solutions to the Navier-Stokes equations under the general flux condition

Naoya Kanbayashi, Hideo Kozono, Takahiro Okabe

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    Abstract

    Consider stationary weak solutions of the Navier-Stokes equations in a bounded domain in R3 under the nonhomogeneous boundary condition. We give a new approach for the stability of the stationary flow in the L2-framework. Furthermore, we give some examples of stable solutions which may be large in L3(Ω) or W1,3/2(Ω).

    Original languageEnglish
    Pages (from-to)378-392
    Number of pages15
    JournalJournal of Mathematical Analysis and Applications
    Volume409
    Issue number1
    DOIs
    Publication statusPublished - 2014 Jan 1

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    Keywords

    • Boundary value problem
    • Navier-Stokes equations
    • Stability

    ASJC Scopus subject areas

    • Analysis
    • Applied Mathematics

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