Global Weak Solutions for 1D Compressible Navier-Stokes/Allen-Cahn System with Vacuum

被引：5

作者：

Li, Yinghua ^{[1
]}

Yan, Yuanxiang ^{[1
]}

Ding, Shijin ^{[1
]}

Chen, Gaoyang ^{[1
]}

机构：

[1] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2023年 / 74卷 / 01期

关键词：

Compressible; Navier-Stokes; Allen-Cahn; Free boundary; Weak solutions; Vacuum; FREE-BOUNDARY PROBLEM; DEGENERATE VISCOSITY COEFFICIENT; DENSITY-DEPENDENT VISCOSITY; HYDRODYNAMIC FLOW; SMOOTH SOLUTIONS; LIQUID-CRYSTALS; EQUATIONS; STABILITY; STATE;

D O I：

10.1007/s00033-022-01893-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a diffuse interface model coupled by Navier-Stokes equations and Allen-Cahn equations. We study 1D compressible system with free boundary when the initial density is assumed to be compactly supported and connects to vacuum continuously. The global existence of weak solutions is established by using line method.

引用

页数：19

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