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SUMMARY:A variational model for the evolution of magnetoelastic materials 
 - Anja Schlömerkemper (Julius-Maximilians-Universität Würzburg)
DTSTART:20250818T130000Z
DTEND:20250818T134500Z
UID:TALK234706@talks.cam.ac.uk
DESCRIPTION:We consider a variational approach to the evolution of a compr
 essible magnetoelastic solid. The energy is non-convex and coupled to a gr
 adient flow equation for the magnetization in the quasi-static setting. Th
 e viscous dissipation yields an extended material derivative in the magnet
 ic force balance. I will introduce the model and outline the proof of exis
 tence of weak solutions\, which is based on De Giorgi's minimizing movemen
 ts scheme and a representation of the magnetic force balance in terms of t
 he same energy and dissipation potentials as the equation of motion.\nThis
  is joint work with Barbora Bene{\\v s}ov{\\' a}\, {\\v S}{\\' ar}ka Ne{\\
 v c}asov{\\' a} and Jan Scherz.
LOCATION:Seminar Room 1\, Newton Institute
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