Existence of strong solutions and decay of turbulent solutions of Navier–Stokes flow with nonzero Dirichlet boundary data

Reinhard Farwig, Hideo Kozono, David Wegmann

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    1 Citation (Scopus)

    Abstract

    Recently, Leray's problem of the L2-decay of a special weak solution to the Navier–Stokes equations with nonhomogeneous boundary values was studied by the authors, exploiting properties of the approximate solutions converging to this solution. In this paper this result is generalized to the case of an arbitrary weak solution satisfying the strong energy inequality.

    Original languageEnglish
    Pages (from-to)271-286
    Number of pages16
    JournalJournal of Mathematical Analysis and Applications
    Volume453
    Issue number1
    DOIs
    Publication statusPublished - 2017 Sep 1

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    Keywords

    • Asymptotic behavior
    • Exterior domain
    • Instationary Navier–Stokes equations
    • Nonzero boundary values
    • Time-dependent data
    • Weak solutions

    ASJC Scopus subject areas

    • Analysis
    • Applied Mathematics

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