Global existence of weak solutions to a diffuse interface model for magnetic fluids
Analysis of PDEs
2020-04-22 v1 Mathematical Physics
math.MP
Abstract
This article is devoted to the derivation and analysis of a system of partial differential equations modeling a diffuse interface flow of two Newtonian incompressible magnetic fluids. The system consists of the incompressible Navier-Stokes equations coupled with an evolutionary equation for the magnetization vector and the Cahn-Hilliard equations. We show global in time existence of weak solutions to the system using the time discretization method.
Cite
@article{arxiv.2004.09616,
title = {Global existence of weak solutions to a diffuse interface model for magnetic fluids},
author = {Martin Kalousek and Sourav Mitra and Anja Schlömerkemper},
journal= {arXiv preprint arXiv:2004.09616},
year = {2020}
}