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

preprint2011arXivOpen access

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<γ<3.

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