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Some aspects of the asymptotic dynamics of solutions of the homogeneous Navier-Stokes equations in general domains
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SYSNO ASEP 0353112 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Some aspects of the asymptotic dynamics of solutions of the homogeneous Navier-Stokes equations in general domains Tvůrce(i) Skalák, Zdeněk (UH-J) SAI, ORCID, RID Zdroj.dok. Journal of Mathematical Fluid Mechanics. - : Springer - ISSN 1422-6928
Roč. 12, č. 4 (2010), s. 503-535Poč.str. 33 s. Jazyk dok. eng - angličtina Země vyd. CH - Švýcarsko Klíč. slova Navier–Stokes equations ; asymptotic behavior of solution ; fast decays Vědní obor RIV BA - Obecná matematika CEP IAA200600801 GA AV ČR - Akademie věd CEZ AV0Z20600510 - UH-J (2005-2011) UT WOS 000285929600003 DOI 10.1007/s00021-009-0300-y Anotace In the first part of the paper we study decays of solutions of the Navier-Stokes equations on short time intervals. We show as the main result that solutions satisfying the strong energy inequality do not exhibit large decays if they are measured in the energetic L^2 norm. In the second part of the paper we characterize approximately the subspace of the phase space through which the trajectory of the solution moves. As a consequence of the presented results we get that the energy of solution cannot decay more quickly than exponentially. Pracoviště Ústav pro hydrodynamiku Kontakt Soňa Hnilicová, hnilicova@ih.cas.cz, Tel.: 233 109 003 Rok sběru 2011
Počet záznamů: 1