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Seminar on partial differential equations

Global existence of weak solutions for a magnetic fluid model

Martin Kalousek
Institute of Mathematics, CAS


Tuesday, 1. December 2020 - 9:00 to 10:00

The lecture will be delivered on Zoom (only). The link to the seminar is:

Meeting ID: 989 1498 7846
Passcode: 889147

The talk is devoted to the presentation of recent results that concern the global in time existence of weak solutions 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. Presented results are based on the joint work with S. Mitra and A. Schlömerkemper.