On dynamics of fluids in astrophysics |
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Authors: | Lukáš Poul |
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Institution: | (1) Institute of Mathematics, Academy of Sciences of the Czech Republic, Žitná 25, Prague, Czech Republic |
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Abstract: | The object of this article is to 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 Feireisl (Oxford lecture series in mathematics and its applications, 26, Oxford University Press, Oxford) and others during the recent years. The weak solution’s sensitivity to a change of
the domain is discussed as well. |
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Keywords: | Compressible Navier– Stokes– Fourier system Weak solutions Unbounded domains Weights |
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