Brzezniak, Zdzislaw orcid.org/0000-0001-8731-6523, Hausenblas, Erika and Liang, Liang (2019) Quasipotential for the ferromagnetic wire governed by the 1D Landau-Lifshitz-Gilbert equations. Journal of Differential Equations. pp. 2284-2330. ISSN 0022-0396
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
Metadata
Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 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. |
Keywords: | Landau-Lifshitz-Gilbert equations, Strong solution, Quasipotential |
Dates: |
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Institution: | The University of York |
Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) |
Depositing User: | Pure (York) |
Date Deposited: | 31 May 2019 09:30 |
Last Modified: | 06 Dec 2023 13:08 |
Published Version: | https://doi.org/10.1016/j.jde.2019.03.016 |
Status: | Published |
Refereed: | Yes |
Identification Number: | https://doi.org/10.1016/j.jde.2019.03.016 |