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

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 $1<\gamma <3$.

28 pages

References in corpus (1)

• Vanishing of vacuum states and blow-up phenomena of the compressible Navier-Stokes equations