On a non-scalar damping model in micromagnetism

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Abstract

We consider a mathematical model describing magnetisation dynamics with non-scalar damping. The model consists on a generalised Landau-Lifshitz-Gilbert equation with a general damping tensor. We apply Faedo-Galerkin/penalty method to show the existence of global weak solutions in one-dimensional case.

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Ayouch, C., Essoufi, E. H., & Tilioua, M. (2018). On a non-scalar damping model in micromagnetism. In International Journal of Dynamical Systems and Differential Equations (Vol. 8, pp. 6–18). Inderscience Publishers. https://doi.org/10.1504/IJDSDE.2018.10009155

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