Weak Solutions to Mathematical Models of the Interaction between Fluids, Solids and Electromagnetic Fields

Abstract: We prove the existence of weak solutions to two systems of PDEs modeling interactions between fluids, solids and electromagnetic fields. The first problem we consider describes the motion of an insulating rigid body through an electrically conducting incompressible fluid. The existence of weak solutions to this problem is achieved via a time discretization and an application of the Brinkman penalization. The second considered problem deals with the evolution of the deformation and the magnetization of a magnetoelastic material and is solved via an application of De Giorgi's minimizing movements scheme.

MathematicsPhysics

Audience: researchers in the topic

Nečas Seminar on Continuum Mechanics

Series comments: This seminar was founded on December 14, 1966.

Faculty of Mathematics and Physics, Charles University, Sokolovská 83, Prague 8. If not written otherwise, we will meet on Mondays at 15:40 in lecture hall K3 (2nd floor)