Počet záznamů: 1

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

  1. 1.
    0360534 - MU-W 2012 RIV CH eng J - Článek v odborném periodiku
    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
    Grant CEP: GA ČR GA201/08/0012; GA MŠk LC06052
    Výzkumný záměr: CEZ:AV0Z10190503
    Klíčová slova: spherically symmetric motion * selfgravitating gas * non monotone pressure law * density-dependent viscosities
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 0.768, rok: 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.
    Trvalý link: http://hdl.handle.net/11104/0198053
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