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

0534201 - MÚ 2022 RIV GB eng J - Článek v odborném periodiku
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
Institucionální podpora: RVO:67985840
Klíčová slova: Cahn-Hilliard equations * diffuse interface model * global existence * incompressible Navier–Stokes equations
Obor OECD: Pure mathematics
Impakt faktor: 2.765, rok: 2021
Způsob publikování: Omezený přístup
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.
Trvalý link: http://hdl.handle.net/11104/0312426