Počet záznamů: 1
Asymptotic energy and enstrophy concentration in solutions to the Navier–Stokes equations in R3
- 1.0341388 - ÚH 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
Počet záznamů: 1