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On global motions of a compressible barotropic and selfgravitating gas with density-dependent viscosities |
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| Authors: | Bernard Ducomet Šárka Nečasová Alexis Vasseur |
| Affiliation: | 1. CEA, DAM, DIF, 91297, Arpajon, France 2. Mathematical Institute AS?R, ?itná 25, 115 67, Praha 1, Czech Republic 3. Department of Mathematics, University of Texas at Austin, University Station C1200, TX, 78712-0257, USA |
| Abstract: | We consider the Cauchy problem for the equations of selfgravitating motions of a barotropic gas with density-dependent viscosities μ(ρ), and λ(ρ) satisfying the Bresch–Desjardins condition, when the pressure P(ρ) is not necessarily a monotone function of the density. We prove that this problem admits a global weak solution provided that the adiabatic exponent γ associated with P(ρ) satisfies ${gamma > frac{4}{3}}$ . |
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