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Asymptotic properties of solutions to the equations of incompressible fluid mechanics
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SYSNO ASEP 0353467 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Asymptotic properties of solutions to the equations of incompressible fluid mechanics Author(s) Březina, Jan (MU-W) Source Title Journal of Mathematical Fluid Mechanics. - : Springer - ISSN 1422-6928
Roč. 12, č. 4 (2010), s. 536-553Number of pages 18 s. Language eng - English Country CH - Switzerland Keywords Navier-Stokes equations ; boundary conditions ; rough boundary Subject RIV BA - General Mathematics R&D Projects GA201/08/0315 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000285929600004 EID SCOPUS 79551689765 DOI 10.1007/s00021-009-0301-x Annotation Well-accepted hypothesis in the fluid dynamics is that if the boundary of the physical domain is impermeable then the vsiscous fluid adheres completely to it. Many authors recently proposed mathematical justifications for this hypothesis using the so-called rugous boundary. In this paper we want to discuss optimality of results obtained in Bucur et al., Bucur and Feireisl or Díaz et al. and we show several corresponding examples. Finally, we extend these results for more general domains. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2011
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