In this paper,the large-time behavior of the solution to the Cauchy problem for the one-dimensional compressible Navier-Stokes/Allen-Cahn system,which describes the flow of non-miscible two-phase flows with dif-fusion interfaces,has been studied.Using the anti-derivative and energy method,we demonstrate the existence and asymptotic stability of the viscous shock solution for one-dimensional compressible Navier-Stokes/Allen-Cahn equation.
维普
万方数据