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On a nu-continuous famaly of strong solutions to the Euler or Navier-Stokes equations with the Navier-type boundary condition
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SYSNO ASEP 0343551 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title On a nu-continuous famaly of strong solutions to the Euler or Navier-Stokes equations with the Navier-type boundary condition Author(s) Bellout, H. (US)
Neustupa, Jiří (MU-W) RID, SAI, ORCID
Penel, P. (FR)Source Title Discrete and Continuous Dynamical Systems. - : AIMS Press - ISSN 1078-0947
Roč. 27, č. 4 (2010), s. 1353-1373Number of pages 21 s. Language eng - English Country US - United States Keywords Euler equations ; Navier-Stokes equations ; zero viscosity limit Subject RIV BA - General Mathematics R&D Projects IAA100190905 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000276391500005 EID SCOPUS 77954339942 DOI 10.3934/dcds.2010.27.1353 Annotation Under assumptions on smoothness of the initial velocity and the external body force, we prove that there exists T-0 > 0, nu* > 0 and a unique family of strong solutions u(nu) of the Euler or Navier-Stokes initial-boundary value problem on the time interval ( 0, T-0), depending continuously on the viscosity coefficient nu for 0 <= nu < nu*. The solutions of the Navier-Stokes problem satisfy a Navier-type boundary condition. We give the information on the rate of convergence of the solutions of the Navier-Stokes problem to the solution of the Euler problem for nu -> 0+. 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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