On spherically symmetric motions of a viscous compressible barotropic and selfgravitating gas

0360534 - MÚ 2012 RIV CH eng J - Journal Article
Ducomet, B. - Nečasová, Šárka - Vasseur, A.
On spherically symmetric motions of a viscous compressible barotropic and selfgravitating gas.
Journal of Mathematical Fluid Mechanics. Roč. 13, č. 2 (2011), s. 191-211. ISSN 1422-6928. E-ISSN 1422-6952
R&D Projects: GA ČR GA201/08/0012; GA MŠMT LC06052
Institutional research plan: CEZ:AV0Z10190503
Keywords : spherically symmetric motion * selfgravitating gas * non monotone pressure law * density-dependent viscosities
Subject RIV: BA - General Mathematics
Impact factor: 0.768, year: 2011
http://link.springer.com/article/10.1007%2Fs00021-009-0010-5

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.
Permanent Link: http://hdl.handle.net/11104/0198053