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On large-time energy concentration in solutions to the Navier-Stokes equations in general domains
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SYSNO ASEP 0364506 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název On large-time energy concentration in solutions to the Navier-Stokes equations in general domains Tvůrce(i) Skalák, Zdeněk (UH-J) SAI, ORCID, RID Zdroj.dok. ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik. - : Wiley - ISSN 0044-2267
Roč. 91, č. 9 (2011), s. 724-732Poč.str. 9 s. Jazyk dok. eng - angličtina Země vyd. DE - Německo Klíč. slova Navier-Stokes equations ; large-time behavior ; energy concentration Vědní obor RIV BA - Obecná matematika CEP IAA100190905 GA AV ČR - Akademie věd CEZ AV0Z20600510 - UH-J (2005-2011) UT WOS 000295068600004 DOI 10.1002/zamm.200900399 Anotace 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. Pracoviště Ústav pro hydrodynamiku Kontakt Soňa Hnilicová, hnilicova@ih.cas.cz, Tel.: 233 109 003 Rok sběru 2012
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