TY - JOUR
T1 - Spherically Symmetric Solutions for a Coupled Compressible Navier-Stokes/Allen-Cahn System
AU - Song , Changming
AU - Wang , Yuanyuan
JO - Journal of Partial Differential Equations
VL - 4
SP - 374
EP - 384
PY - 2019
DA - 2019/01
SN - 31
DO - http://doi.org/10.4208/jpde.v31.n4.7
UR - https://global-sci.org/intro/article_detail/jpde/12950.html
KW - Navier-Stokes equations
KW - Allen-Cahn equation
KW - local solutions
KW - spherically symmetry.
AB - <p>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 data ρ0 without vacuum state.</p>