Publication at Faculty of Mathematics and Physics |
2013
Abstract
A continuum evolutionary model for micromagnetics is presented that, beside the standard magnetic balance laws, includes thermomagnetic 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.