Počet záznamů: 1

On large-time energy concentration in solutions to the Navier-Stokes equations in general domains

  1. 1.
    0364506 - UH-J 2012 RIV DE eng J - Článek v odborném periodiku
    Skalák, Zdeněk
    On large-time energy concentration in solutions to the Navier-Stokes equations in general domains.
    ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik. Roč. 91, č. 9 (2011), s. 724-732 ISSN 0044-2267
    Grant CEP: GA AV ČR IAA100190905
    Výzkumný záměr: CEZ:AV0Z20600510
    Klíčová slova: Navier-Stokes equations * large-time behavior * energy concentration
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 0.863, rok: 2011

    In the paper we describe the large time energy concentration in the frequency space which occurs in global weak solutions to the Navier-Stokes equations satisfying the strong energy inequality. The energy of exponentially decreasing solutions concentrates in a particular ring in the frequency space. The diameter of the ring is connected with the rate of the exponential decay. The energy of solutions decreasing at an algebraic rate concentrates asymptotically in arbitrarily small frequencies. The results hold for any turbulent solution and for any three-dimensional sufficiently smooth domain. In Appendix, we present some further results connected with energy concentration.
    Trvalý link: http://hdl.handle.net/11104/0199975
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