Weak solutions for a non-Newtonian diffuse interface model with different densities

被引：17

作者：

Abels, Helmut ^{[1
]}

Breit, Dominic ^{[2
]}

机构：

[1] Univ Regensburg, Dept Math, Univ Str 31, D-93053 Regensburg, Germany

[2] Heriot Watt Univ, Dept Math, Edinburgh EH14 4AS, Midlothian, Scotland

来源：

NONLINEARITY | 2016年 / 29卷 / 11期

关键词：

two-phase flow; diffuse interface model; non-Newtonian fluids; Cahn-Hilliard equation; L-infinity-truncation; SHEAR-DEPENDENT VISCOSITY; LIPSCHITZ TRUNCATION; EXISTENCE; FLUIDS; FLOWS; SYSTEM;

D O I：

10.1088/0951-7715/29/11/3426

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider weak solutions for a diffuse interface model of two non-Newtonian viscous, incompressible fluids of power-law type in the case of different densities in a bounded, sufficiently smooth domain. This leads to a coupled system of a nonhomogenouos generalized Navier-Stokes system and a Cahn-Hilliard equation. For the Cahn-Hilliard part a smooth free energy density and a constant, positive mobility is assumed. Using the L-infinity-truncation method we prove existence of weak solutions for a power-law exponent p > 2d+2/d+2, d=2, 3.

引用

页码：3426 / 3453

页数：28

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