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A steady Navier-Stokes model for compressible fluid with partially strong solutions
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SYSNO ASEP 0345049 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title A steady Navier-Stokes model for compressible fluid with partially strong solutions Author(s) Muzereau, O. (FR)
Neustupa, Jiří (MU-W) RID, SAI, ORCID
Penel, P. (FR)Source Title Comptes Rendus Mathematique. - : Elsevier - ISSN 1631-073X
Roč. 348, 11-12 (2010), s. 619-624Number of pages 6 s. Language eng - English Country FR - France Keywords Navier-Stokes equations ; Compressible fluids ; Weak solution Subject RIV BA - General Mathematics R&D Projects GA201/08/0012 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000279061100006 EID SCOPUS 77953685521 DOI 10.1016/j.crma.2010.04.001 Annotation In this note, we prove the existence of a partially strong solution to the steady Navier–Stokes equations for viscous barotropic compressible fluids, in a bounded simply connected domain of R3 with the prescribed generalized impermeability conditions , k=0,1,2 on the boundary. We call the solution “partially strong” because only the divergence-free part of the velocity field and the associated effective pressure have regularity typical for strong solution, while the density and the gradient part of the velocity have regularity typical for weak solution. 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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