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

Reinhard Farwig, Hideo Kozono, David Wegmann

    Research output: Contribution to journal › Article

    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

    Fingerprint

    Strong Solution
    Navier-Stokes
    Dirichlet
    Weak Solution
    Decay
    Energy Inequality
    Boundary Value
    Navier-Stokes Equations
    Approximate Solution
    Arbitrary

    Keywords

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

    ASJC Scopus subject areas

    • Analysis
    • Applied Mathematics

    Cite this

    Existence of strong solutions and decay of turbulent solutions of Navier–Stokes flow with nonzero Dirichlet boundary data. / Farwig, Reinhard; Kozono, Hideo; Wegmann, David.

    In: Journal of Mathematical Analysis and Applications, Vol. 453, No. 1, 01.09.2017, p. 271-286.

    Research output: Contribution to journal › Article

    Farwig, R, Kozono, H & Wegmann, D 2017, 'Existence of strong solutions and decay of turbulent solutions of Navier–Stokes flow with nonzero Dirichlet boundary data', Journal of Mathematical Analysis and Applications, vol. 453, no. 1, pp. 271-286. https://doi.org/10.1016/j.jmaa.2017.03.086
    Farwig R, Kozono H, Wegmann D. Existence of strong solutions and decay of turbulent solutions of Navier–Stokes flow with nonzero Dirichlet boundary data. Journal of Mathematical Analysis and Applications. 2017 Sep 1;453(1):271-286. https://doi.org/10.1016/j.jmaa.2017.03.086
    Farwig, Reinhard ; Kozono, Hideo ; Wegmann, David. / Existence of strong solutions and decay of turbulent solutions of Navier–Stokes flow with nonzero Dirichlet boundary data. In: Journal of Mathematical Analysis and Applications. 2017 ; Vol. 453, No. 1. pp. 271-286.
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