On an incompressible Navier-Stokes/Cahn-Hilliard system with degenerate mobility

被引：61

作者：

Abels, Helmut ^{[1
]}

Depner, Daniel ^{[1
]}

Garcke, Harald ^{[1
]}

机构：

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

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2013年 / 30卷 / 06期

关键词：

Two-phase flow; Navier-Stokes equations; Diffuse interface model; Mixtures of viscous fluids; Cahn-Hilliard equation; Degenerate mobility; DIFFUSE INTERFACE MODEL; ORDER-PARAMETER; FLUIDS; FLOW;

D O I：

10.1016/j.anihpc.2013.01.002

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 by allowing for a degenerate mobility. The model has been developed by Abels, Garcke and Grun for fluids with different densities and leads to a solenoidal velocity field. It is given by a non-homogeneous Navier Stokes system with a modified convective term coupled to a Cahn-Hilliard system, such that an energy estimate is fulfilled which follows from the fact that the model is thermodynamically consistent. (C) 2013 Elsevier Masson SAS. All rights reserved.

引用

页码：1175 / 1190

页数：16

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