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

In this paper, we focus on the immiscible compressible two-phase ow described by the coupled compressible Navier-Stokes system and the modi ed Allen-Cahn equations. The generalized Navier boundary condition and the relaxation boundary condition are established in order to solve the problem of moving...

Full description

Saved in:
Bibliographic Details
Published in:Acta Mathematicae Applicatae Sinica 2022, Vol.38 (1), p.98-115
Main Authors: Chen, Ya-zhou, He, Qiao-lin, Huang, Bin, Shi, Xiao-ding
Format: Article
Language:English
Subjects:
Applications of Mathematics
Boundary conditions
Boundary value problems
Compressibility
Energy dissipation
Energy methods
Fluid flow
Math Applications in Computer Science
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Maximum principle
Navier-Stokes equations
Theoretical
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we focus on the immiscible compressible two-phase ow described by the coupled compressible Navier-Stokes system and the modi ed 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.
ISSN:0168-9673
1618-3932
DOI:10.1007/s10255-022-1068-7