In this paper,we consider the initial boundary value problem of a coupled compressible Navier-Stokes/Allen-Cahn system which is described the motion of a mixture of two viscous compressible fluids in 3D.Our aim is to ...In this paper,we consider the initial boundary value problem of a coupled compressible Navier-Stokes/Allen-Cahn system which is described the motion of a mixture of two viscous compressible fluids in 3D.Our aim is to show the existence and uniqueness of local classical solution under the assumption of spherically symmetric condition for initial dataρ0 without vacuum state.展开更多
基金the NNSF of China(11671367,11801133)the Natural Science Foundation of He'nan Province(Grant No.152300410227)the grant from the Key Research Projects of He'nan Higher Education Institutions(18A110038).
文摘In this paper,we consider the initial boundary value problem of a coupled compressible Navier-Stokes/Allen-Cahn system which is described the motion of a mixture of two viscous compressible fluids in 3D.Our aim is to show the existence and uniqueness of local classical solution under the assumption of spherically symmetric condition for initial dataρ0 without vacuum state.