Global unique solvability of the initial-boundary value problem for one-dimensional barotropic equations of viscous compressible bifluids

Abstract

Abstract We consider the equations of a multi-velocity model of a binary mixture of viscous compressible fluids (two-fluid medium) in the case of one-dimensional barotropic motions. We prove the global (in time) existence and uniqueness of a strong solution to the initial-boundary value problem describing the motion in a bounded spatial domain.