Navier-Stokes/Allen-Cahn System with Generalized Navier Boundary Condition  

作　　者：Ya-zhou CHEN Qiao-lin HE Bin HUANG Xiao-ding SHI 

机构地区：[1]Department of Mathematics,College of Mathematics and Physics,Beijing University of Chemical Technology,Beijing 100029,China [2]School of Mathematics,Sichuan University,Chengdu 610065,China

出　　处：《Acta Mathematicae Applicatae Sinica》2022年第1期98-115,共18页应用数学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(Nos.12171024,11901025,11971217,11971020)。

摘　　要：In this paper,we focus on the immiscible compressible two-phase flow described by the coupled compressible Navier-Stokes system and the modified Allen-Cahn equations.The generalized Navier boundary condition and the relaxation boundary condition are established in order to solve the problem of moving contact lines on the solid boundary by using the principle of minimum energy dissipation.The existence and uniqueness for local strong solution in three dimensional bounded domain for this type of boundary value problem is obtained by the elementary energy method and the maximum principle.

关 键 词：compressible Navier-Stokes equation Allen-Cahn equation generalized Navier boundary condition EXISTENCE UNIQUENESS 

分 类 号：O175[理学—数学]