Initial-boundary Value Problem for the Landau-Lifshitz System with Applied Field

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Abstract

In this paper, the existence and partial regularity of weak solution to the initial-boundary value problem of Landau-Lifshitz equations with applied fields in a 2D bounded domain are obtained by the penalty method.
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Initial-boundary Value Problem for the Landau-Lifshitz System with Applied Field. (2000). Journal of Partial Differential Equations, 13(1), 35-50. https://www.global-sci.com/index.php/jpde/article/view/3931