Počet záznamů: 1

On the asymptotic decay of higher-order norms of the solutions to the Navier-Stokes equations in R3

  1. 1.
    0343675 - UH-J 2011 RIV US eng J - Článek v odborném periodiku
    Skalák, Zdeněk
    On the asymptotic decay of higher-order norms of the solutions to the Navier-Stokes equations in R3.
    Discrete and Continuous Dynamical systems - Series S. Roč. 3, č. 2 (2010), s. 361-370 ISSN 1937-1632
    Grant CEP: GA AV ČR IAA100190905
    Výzkumný záměr: CEZ:AV0Z20600510
    Klíčová slova: Navier–Stokes equations * asymptotic behavior * decay of higher-order norms
    Kód oboru RIV: BA - Obecná matematika

    In this paper we study the large-time behavior of global weak solutions of the Navier-Stokes equations in the whole space satisfying the strong energy inequality. We especially show that any space derivative of the solution measured in L2-norm decreases with time going to infinity quickly than the L2-norm of the solution itself.
    Trvalý link: http://hdl.handle.net/11104/0186100
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