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Paper detail

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

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.

preprint2020arXivOpen access
Martin KalousekSourav MitraAnja Schlömerkemper
math.APmath-phmath.MP
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Martin KalousekSourav MitraAnja Schlömerkemper

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