Abstract
We investigate a free boundary problem for the inviscid two-phase flow model with moving physical vacuum boundary, which is a degenerate and characteristic hyperbolic system of conservation laws. Based on a suitable transformation, a special degenerate parabolic approximation and delicate uniform energy estimates, we prove the existence and uniqueness of the local weak solutions. This can be regarded as a generalization of the results in Coutand and Shkoller (2011) [5] from single-phase gas model to two-phase gas-liquid model.
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