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arXiv · 1105.0529

Well-posedness of 1-D compressible Euler-Poisson equations with physical vacuum

Xumin Gu·Zhen Lei
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Abstract

This paper is concerned with the 1-D compressible Euler-Poisson equations with moving physical vacuum boundary condition. It is usually used to describe the motion of a self-gravitating inviscid gaseous star. The local well-posedness of classical solutions is established in the case of the adiabatic index $1<\gamma<3$.

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Xumin Gu, Zhen Lei. 2011-05-03. Well-posedness of 1-D compressible Euler-Poisson equations with physical vacuum. https://arxiv.org/abs/1105.0529

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