Global Unique Solvability of the Initial-Boundary Value Problem for One-Dimensional Barotropic Equations of Viscous Compressible Bifluids

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.