2022
DOI: 10.1515/jaa-2022-2003
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Local existence and uniqueness of regular solutions to a Landau–Lifshitz–Bloch equation with applied current

Abstract: We prove via a Galerkin approximation the time local existence of regular solutions to a Landau–Lifshitz–Bloch equation with applied current in a bounded domain. The uniqueness of the solution is also established. Moreover, we show the global in time existence of a regular solution in dimension two.

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