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A partially strong solution to the steady Navier-Stokes equations for compressible barotropic fluid with generalized impermeability boundary conditions
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SYSNO ASEP 0349654 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název A partially strong solution to the steady Navier-Stokes equations for compressible barotropic fluid with generalized impermeability boundary conditions Tvůrce(i) Muzereau, O. (FR)
Neustupa, Jiří (MU-W) RID, SAI, ORCID
Penel, P. (FR)Zdroj.dok. Nonlinearity. - : Institute of Physics Publishing - ISSN 0951-7715
Roč. 23, č. 12 (2010), s. 3071-3090Poč.str. 20 s. Jazyk dok. eng - angličtina Země vyd. GB - Velká Británie Klíč. slova Navier-Stokes equations ; compressible fluids ; weak solution Vědní obor RIV BA - Obecná matematika CEP GA201/08/0012 GA ČR - Grantová agentura ČR CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000284379300005 EID SCOPUS 78650094199 DOI 10.1088/0951-7715/23/12/005 Anotace We prove the existence of a partially strong solution to the steady Navier-Stokes equations for barotropic compressible fluid in a bounded simply connected domain with the prescribed generalized impermeability conditions u.n=0, curl u.n=0 and curl curl u.n=0 on the boundary. We assume that the state law for the pressure has the form P(rho)=rho^{gamma} for gamma>3. We call the solution "partially strong" because only the divergence - free part of velocity and the effective pressure have regularity typical for strong solutions, while the gradient part of velocity and the density have regularity typical for weak solutions. 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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