Quasipotential for the ferromagnetic wire governed by the 1D Landau-Lifshitz-Gilbert equations

doi:10.1016/j.jde.2019.03.016

Journal of Differential Equations

Volume 267, Issue 4, 5 August 2019, Pages 2284-2330

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Abstract

We consider 1D Landau-Lifshitz-Gilbert equations with an external force. We first prove the existence and uniqueness of the strong solution, and then give a definition of the quasipotential and prove that the quasipotential is equal to the potential energy of the system.

Keywords

Landau-Lifshitz-Gilbert equations

Strong solution

Quasipotential