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

Zdzislaw Brzezniak, Erika Hausenblas, Liang Liang

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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
Original languageEnglish
Pages (from-to)2284-2330
Number of pages47
JournalJournal of Differential Equations
Issue number4
Early online date26 Mar 2019
Publication statusPublished - 5 Aug 2019

Bibliographical note

© 2019 Published by Elsevier Inc. All rights reserved. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy.


  • Landau-Lifshitz-Gilbert equations
  • Strong solution
  • Quasipotential

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