  The Landau--Lifshitz--Bloch (LLB) equation is a formulation of dynamic
micromagnetics valid at all temperatures, treating both the transverse and
longitudinal relaxation components important for high-temperature applications.
We study LLB equation in case the temperature raised higher than the Curie
temperature. The existence of weak solution is showed and its regularity
properties are also discussed. In this way, we lay foundations for the rigorous
theory of LLB equation that is currently not available.
