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

Analysis of PDEs 2011-05-04 v1 Mathematical Physics math.MP

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<γ<31<\gamma<3.

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Cite

@article{arxiv.1105.0529,
  title  = {Well-posedness of 1-D compressible Euler-Poisson equations with physical vacuum},
  author = {Xumin Gu and Zhen Lei},
  journal= {arXiv preprint arXiv:1105.0529},
  year   = {2011}
}

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28 pages