Počet záznamů: 1

Asymptotic energy and enstrophy concentration in solutions to the Navier–Stokes equations in R3

  1. 1.
    0341388 - UH-J 2010 RIV FR eng J - Článek v odborném periodiku
    Skalák, Zdeněk
    Asymptotic energy and enstrophy concentration in solutions to the Navier–Stokes equations in R3.
    Annali dell´Universitá di Ferrara. Roč. 55, č. 2 (2009), s. 377-394 ISSN 0430-3202
    Grant CEP: GA AV ČR IAA200600801
    Výzkumný záměr: CEZ:AV0Z20600510
    Klíčová slova: Navier–Stokes equations * asymptotic behavior * fast decays * energy concentration * enstrophy concentration
    Kód oboru RIV: BA - Obecná matematika

    We show as the main result of the paper that the energy of every nonzero global weak solution to the Navier-Stokes equations satisfying the strong energy inequality concentrates asymptotically in frequencies smaller than or equal to a precisely defined nonnegative number. We obtain an explicit convergence rate of the concentration and similar results for the enstrophy of the solution.
    Trvalý link: http://hdl.handle.net/11104/0184394