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A new approach to the existence of weak solutions of the steady Navier-Stokes system with inhomogeneous boundary data in domains with noncompact boundaries
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SYSNO ASEP 0348177 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název A new approach to the existence of weak solutions of the steady Navier-Stokes system with inhomogeneous boundary data in domains with noncompact boundaries Tvůrce(i) Neustupa, Jiří (MU-W) RID, SAI, ORCID Zdroj.dok. Archive for Rational Mechanics and Analysis. - : Springer - ISSN 0003-9527
Roč. 198, č. 1 (2010), 331-348Poč.str. 18 s. Jazyk dok. eng - angličtina Země vyd. DE - Německo Klíč. slova Navier-Stokes equations ; inhomogeneous boundary data Vědní obor RIV BA - Obecná matematika CEP GA201/08/0012 GA ČR - Grantová agentura ČR CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000281855600008 EID SCOPUS 77956014523 DOI 10.1007/s00205-010-0297-7 Anotace We prove the existence of a weak solution to the steady Navier-Stokes problem in a three dimensional domain Omega, whose boundary partial derivative,Omega consists of M unbounded components Gamma(1), . . . ,Gamma(M) and N - M bounded components Gamma(M+1), . . . , Gamma(N) . We use the inhomogeneous Dirichlet boundary condition on partial derivative Omega. The prescribed velocity profile alpha on partial derivative Omega is assumed to have an L-3-extension to Omega with the gradient in L-2(Omega)(3x3). We assume that the fluxes of alpha through the bounded components Gamma(M+1), . . . , Gamma(N) of a,I (c) are "sufficiently small", but we impose no restriction on the size of fluxes through the unbounded components Gamma(1), . . . , Gamma(M). Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2011
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