A Class Of Compressible Navier-stokes Equations With Discontinuous Boundary Conditions The Interface Behavior

In this paper, we will mainly study the interface behavior of compressible Navier-Stokes with discontinuous boundary conditions and vacuum. we obtain the global existence of weak solutions to this discontinuous boundary conditions. Smoothness of the solutions and the uniqueness of the weak solutions are also discussed. The present paper extends Luo-Xin-Yang's [1] results to the jump boundary conditions case.