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January  2004, 11(1): 113-130. doi: 10.3934/dcds.2004.11.113

Global in time weak solutions for compressible barotropic self-gravitating fluids

Bernard Ducomet 1, , Eduard Feireisl 2, , Hana Petzeltová 2, and  Ivan Straškraba 2,

1. 

Département de physique théorique et appliquée, CEA, B.P. 12, Bruyères-le-Châtel, France
2. 

Mathematical Institute AV ČR, Žitná 25, 115 67 Praha 1, Czech Republic, Czech Republic

Received  December 2002 Revised  September 2003 Published  April 2004

The existence of global in time weak solutions to the Navier-Stokes-Poisson system of barotropic compressible flow is proved. The system takes into account the effect of self-gravitation. Moreover, the case of a non-monotone pressure important in certain applications in astrophysics and the theory of nuclear fluids is included.
Keywords: global in time solutions., Compressible self-gravitating fluid, Navier-Stokes-Poisson system.
Mathematics Subject Classification: 35Q30, 35B9.
Citation: Bernard Ducomet, Eduard Feireisl, Hana Petzeltová, Ivan Straškraba. Global in time weak solutions for compressible barotropic self-gravitating fluids. Discrete & Continuous Dynamical Systems - A, 2004, 11 (1) : 113-130. doi: 10.3934/dcds.2004.11.113
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