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On dynamics of fluids in astrophysics. (English) Zbl 1239.76025

Summary: We show the existence of weak solutions to the Navier-Stokes-Fourier Poisson system on (in general) unbounded domains. The topic is a natural continuation of the author’s results on the existence of weak solutions to the problem on Lipschitz domains and to the Oxenius system on unbounded domains. Technique of the proof is based on the tools developed in a series of works by E. Feireisl [Dynamics of viscous compressible fluids. (Oxford: Oxford University Press) (2004; Zbl 1080.76001)] and others during the recent years. The weak solution’s sensitivity to a change of the domain is discussed as well.

MSC:

76D05 Navier-Stokes equations for incompressible viscous fluids
35Q30 Navier-Stokes equations
85A30 Hydrodynamic and hydromagnetic problems in astronomy and astrophysics

Citations:

Zbl 1080.76001
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References:

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