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Asymptotic energy and enstrophy concentration in solutions to the Navier–Stokes equations in R3
- 1.0341388 - ÚH 2010 RIV FR eng J - Journal Article
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
R&D Projects: GA AV ČR IAA200600801
Institutional research plan: CEZ:AV0Z20600510
Keywords : Navier–Stokes equations * asymptotic behavior * fast decays * energy concentration * enstrophy concentration
Subject RIV: BA - General Mathematics
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.
Permanent Link: http://hdl.handle.net/11104/0184394
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