2023
DOI: 10.48550/arxiv.2302.02556
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Global weak solution of the Landau-Lifshitz-Baryakhtar equation

Abstract: The Landau-Lifshitz-Baryakhtar (LLBar) equation is a generalisation of the Landau-Lifshitz-Gilbert (LLG) and the Landau-Lifshitz-Bloch (LLB) equations which takes into account contributions from nonlocal damping and is valid at moderate temperature below the Curie temperature. As such, it is able to explain some discrepancies between the experimental observations and the known theories in various problems on magnonics and magnetic domain-wall dynamics. In this paper, the existence and uniqueness of weak and re… Show more

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