GLOBAL SOLUTIONS OF A DIFFUSE INTERFACE MODEL FOR THE TWO-PHASE FLOW OF COMPRESSIBLE VISCOUS FLUIDS IN 1D

被引：0

作者：

Ding, Shijin ^{[1
]}

Li, Yinghua ^{[1
]}

机构：

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

来源：

COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2020年 / 18卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Compressible; Navier-Stokes; Cahn-Hilliard; Global solutions; NAVIER-STOKES EQUATIONS; PHASE-FIELD MODEL; INCOMPRESSIBLE FLUIDS; CLASSICAL-SOLUTIONS; EXISTENCE; DENSITY; ENERGY; SYSTEM;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with a coupled Navier-Stokes/Cahn-Hilliard system describing a diffuse interface model for the two-phase flow of compressible viscous fluids in a bounded domain in one dimension. We prove the existence and uniqueness of global classical solutions for rho(0) is an element of C-3,C-alpha(I). Moreover, we also obtain the global existence of weak solutions and unique strong solutions for rho(0) is an element of H-1(I) and rho(0) is an element of H-2(I), respectively. In these cases, the initial density function rho(0) has a positive lower bound.

引用

页码：1055 / 1086

页数：32

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