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

Published 3 May 2011 in math.AP, math-ph, and math.MP | (1105.0529v1)

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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