Special Session 15: 

Analysis of a model for a magneto-viscoelastic material

Martin Kalousek
University of W{\\"u}rzburg
Germany
Co-Author(s):    
Abstract:
The talk is concerned with a mathematical model for a class of materials which possess the special property that they respond mechanically to applied magnetic fields and they change their magnetic properties in response to mechanical stresses. The model consists of a system of equations for the balance of momentum that is coupled with systems of equations describing the evolution of quantities related to elastic and magnetic properties of the material. The issue of existence as well as uniqueness of a solution to the system of partial differential equations under consideration will be discussed.