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The effective boundary conditions for vector fields on domains with rough boundaries: applications to fluid mechanics
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SYSNO ASEP 0359870 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title The effective boundary conditions for vector fields on domains with rough boundaries: applications to fluid mechanics Author(s) Feireisl, Eduard (MU-W) RID, SAI, ORCID
Nečasová, Šárka (MU-W) RID, SAI, ORCIDSource Title Applications of Mathematics. - : Springer - ISSN 0862-7940
Roč. 56, č. 1 (2011), s. 39-49Number of pages 11 s. Language eng - English Country CZ - Czech Republic Keywords Navier-Stokes system ; rough boundary ; slip boundary condition Subject RIV BA - General Mathematics R&D Projects GA201/05/0164 GA ČR - Czech Science Foundation (CSF) IAA100190505 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) IAA100190804 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000300060700003 EID SCOPUS 84856346933 DOI 10.1007/s10492-011-0008-1 Annotation The Navier-Stokes system is studied on a family of domains with rough boundaries formed by oscillationg riblets. Assuming the complete slip boundary conditions we identify the limit system, in particular, we show that the limit velocity field satisfies boundary conditions of a mixed type depending on the characteristic direction of the riblets. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2012
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