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arXiv · 2004.09616

Global existence of weak solutions to a diffuse interface model for magnetic fluids

Martin Kalousek·Sourav Mitra·Anja Schlömerkemper
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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.

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Martin Kalousek, Sourav Mitra, Anja Schlömerkemper. 2020-04-20. Global existence of weak solutions to a diffuse interface model for magnetic fluids. https://arxiv.org/abs/2004.09616

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