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

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

2011-05-03

arxiv.org/abs/1105.0529v1

Mathematics

Analysis of PDEs

28 pages

Scientific paper

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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