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

Zdzislaw Brzezniak; Erika Hausenblas; Liang Liang

doi:10.1016/j.jde.2019.03.016

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

Zdzislaw Brzezniak, Erika Hausenblas, Liang Liang

Mathematics

Research output: Contribution to journal › Article › peer-review

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

Original language	English
Pages (from-to)	2284-2330
Number of pages	47
Journal	Journal of Differential Equations
Volume	267
Issue number	4
Early online date	26 Mar 2019
DOIs	https://doi.org/10.1016/j.jde.2019.03.016
Publication status	Published - 5 Aug 2019

Bibliographical note

Keywords

Landau-Lifshitz-Gilbert equations
Strong solution
Quasipotential

Access to Document

10.1016/j.jde.2019.03.016

ZB_May_19_AAM
© 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.
Accepted author manuscript, 425 KBLicence: CC BY-NC-ND

Cite this

@article{91ace417ee9a4cee95919866189b5f53,

title = "Quasipotential for the ferromagnetic wire governed by the 1D Landau-Lifshitz-Gilbert equations",

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",

author = "Zdzislaw Brzezniak and Erika Hausenblas and Liang Liang",

note = "{\textcopyright} 2019 Published by Elsevier Inc. All rights reserved. This is an author-produced version of the published paper. Uploaded in accordance with the publisher{\textquoteright}s self-archiving policy. ",

year = "2019",

month = aug,

day = "5",

doi = "10.1016/j.jde.2019.03.016",

language = "English",

volume = "267",

pages = "2284--2330",

journal = "Journal of Differential Equations",

issn = "0022-0396",

publisher = "Academic Press",

number = "4",

}

TY - JOUR

T1 - Quasipotential for the ferromagnetic wire governed by the 1D Landau-Lifshitz-Gilbert equations

AU - Brzezniak, Zdzislaw

AU - Hausenblas, Erika

AU - Liang, Liang

PY - 2019/8/5

Y1 - 2019/8/5

N2 - 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

AB - 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

KW - Landau-Lifshitz-Gilbert equations

KW - Strong solution

KW - Quasipotential

U2 - 10.1016/j.jde.2019.03.016

DO - 10.1016/j.jde.2019.03.016

M3 - Article

SN - 0022-0396

VL - 267

SP - 2284

EP - 2330

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 4

ER -