Existence of Weak Solutions for a Diffuse Interface Model for Two-Phase Flows of Incompressible Fluids with Different Densities

被引：73

作者：

Abels, Helmut ^{[1
]}

Depner, Daniel ^{[1
]}

Garcke, Harald ^{[1
]}

机构：

[1] Univ Regensburg, D-93040 Regensburg, Germany

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2013年 / 15卷 / 03期

关键词：

Two-phase flow; Navier-Stokes equation; Diffuse interface model; Mixtures of viscous fluids; Cahn-Hilliard equation;

D O I：

10.1007/s00021-012-0118-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove existence of weak solutions for a diffuse interface model for the flow of two viscous incompressible Newtonian fluids in a bounded domain in two and three space dimensions. In contrast to previous works, we study a new model recently developed by Abels et al. for fluids with different densities, which leads to a solenoidal velocity field. The model is given by a non-homogeneous Navier-Stokes system with a modified convective term coupled to a Cahn-Hilliard system. The density of the mixture depends on an order parameter.

引用

页码：453 / 480

页数：28

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