Existence of Weak Solutions for a Diffuse Interface Model of Non-Newtonian Two-Phase Flows
Analysis of PDEs
2013-02-14 v1
Abstract
We consider a phase field model for the flow of two partly miscible incompressible, viscous fluids of Non-Newtonian (power law) type. In the model it is assumed that the densities of the fluids are equal. We prove existence of weak solutions for general initial data and arbitrarily large times with the aid of a parabolic Lipschitz truncation method, which preserves solenoidal velocity fields and was recently developed by Breit, Diening, and Schwarzacher.
Keywords
Cite
@article{arxiv.1302.3107,
title = {Existence of Weak Solutions for a Diffuse Interface Model of Non-Newtonian Two-Phase Flows},
author = {Helmut Abels and Lars Diening and Yutaka Terasawa},
journal= {arXiv preprint arXiv:1302.3107},
year = {2013}
}
Comments
17 pages