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.
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页码：1055 / 1086
页数：32
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