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

0534201 - MÚ 2022 RIV GB eng J - Journal Article
Kalousek, Martin - Mitra, S. - Schlömerkemper, A.
Global existence of weak solutions to a diffuse interface model for magnetic fluids.
Nonlinear Analysis: Real World Applications. Roč. 59, June (2021), č. článku 103243. ISSN 1468-1218. E-ISSN 1878-5719
Institutional support: RVO:67985840
Keywords : Cahn-Hilliard equations * diffuse interface model * global existence * incompressible Navier–Stokes equations
OECD category: Pure mathematics
Impact factor: 2.765, year: 2021
Method of publishing: Limited access
https://doi.org/10.1016/j.nonrwa.2020.103243

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.
Permanent Link: http://hdl.handle.net/11104/0312426