Global Classical Solutions Of Viscous Liquid-gas Two-phase Flow Model

In this paper, we consider the global existence and uniqueness of the classical solutions for the3D viscous liquid-gas two-phase flow model. Initial data is only small in the energy-norm. Our main ideas come from [16] where the existence of global classical solutions to the compressible Navier-Stokes equations was obtained by using the continuity methods under the assumption that the initial energy is sufficiently small.