Large time behavior for the system of a viscous liquid–gas two-phase flow model in R3R3

The Cauchy problem of a three-dimensional compressible viscous liquid–gas two-phase flow model is considered in the present paper. The global existence and uniqueness of solutions are established when the initial data is close to its equilibrium in the framework of Sobolev space H3(R3)H3(R3). Moreover, the optimal L2L2–L2L2 convergence rates are also obtained for the solution.