Display Abstract

Title Thermodynamically-consistent mesoscopic model of the ferro/paramagnetic transition

Name Martin Kruzik
Country Czech Rep
Email kruzik@utia.cas.cz
Co-Author(s)
Submit Time 2014-03-26 09:35:12
Session
Special Session 91: Variational methods for evolution equations
Contents
A continuum evolutionary model for micromagnetics is presented that, beside the standard magnetic balance laws, includes thermo-magnetic coupling. To allow conceptually efficient computer implementation, inspired by relaxation method of static minimization problems, our model is mesoscopic in the sense that possible fine spatial oscillations of the magnetization are modeled by means of Young measures. Existence of weak solutions is proved by backward Euler time discretization. We will also present a few numerical examples. This is a joint work with Tomas Roubicek (Prague) and Barbora Benesova (Aachen).