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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). |
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