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On spherically symmetric motions of a viscous compressible barotropic and selfgravitating gas
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SYSNO ASEP 0360534 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title On spherically symmetric motions of a viscous compressible barotropic and selfgravitating gas Author(s) Ducomet, B. (FR)
Nečasová, Šárka (MU-W) RID, SAI, ORCID
Vasseur, A. (US)Source Title Journal of Mathematical Fluid Mechanics. - : Springer - ISSN 1422-6928
Roč. 13, č. 2 (2011), s. 191-211Number of pages 21 s. Language eng - English Country CH - Switzerland Keywords spherically symmetric motion ; selfgravitating gas ; non monotone pressure law ; density-dependent viscosities Subject RIV BA - General Mathematics R&D Projects GA201/08/0012 GA ČR - Czech Science Foundation (CSF) LC06052 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000291359300003 EID SCOPUS 79958796580 DOI 10.1007/s00021-009-0010-5 Annotation We consider the Cauchy problem for the equations of spherically symmetric motions in R-3, of a selfgravitating barotropic gas, with possibly non monotone pressure law, in two different situations: in the first one we suppose that the viscosities mu(rho), and lambda(rho) are density-dependent and satisfy the Bresch-Desjardins condition, in the second one we consider constant densities. In the two cases, we prove that the problem admits a global weak solution, provided that the polytropic index gamma satisfy gamma > 1. 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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