Global solutions for the 2D NS-CH model for a two-phase flow of viscous, incompressible fluids with mixed partial viscosity and mobility

被引：54

作者：

Cao, Chongsheng ^{[1
]}

Gal, Ciprian G. ^{[1
]}

机构：

[1] Florida Int Univ, Dept Math, Miami, FL 33199 USA

来源：

NONLINEARITY | 2012年 / 25卷 / 11期

基金：

美国国家科学基金会;

关键词：

NAVIER-STOKES EQUATIONS; INITIAL-VALUE-PROBLEM; CAHN-HILLIARD FLUIDS; BOUSSINESQ EQUATIONS; GENERALIZED SOLUTIONS; FREE-SURFACE; REGULARITY; TRANSITIONS; SHEAR;

D O I：

10.1088/0951-7715/25/11/3211

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Whether or not global solutions of the 2D Navier-Stokes-Cahn-Hilliard (NS-CH) system without full viscosity and mobility can develop finite time singularities is a difficult issue. A major result of this paper deals with global regularity of strong solutions for the NS-CH system with mixed partial viscosity and mobility. In addition, the 2D NS-CH system without viscosity but with full mobility is investigated. In this case, we also prove the global existence and uniqueness of classical solutions.

引用

页码：3211 / 3234

页数：24

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