Existence results for the Landau–Lifshitz–Baryakhtar equation-Reference-Cited by-同舟云学术

Existence results for the Landau–Lifshitz–Baryakhtar equation

Published:2023-11-10 Issue: Volume: Page:1-27
ISSN:1875-8576
Container-title:Asymptotic Analysis
language:
Short-container-title:ASY

Author:

Ayouch C.¹,Meskine D.²,Tilioua M.³

Affiliation:

1. Laboratory LAMAI, Faculty of Sciences and Technologies, Cadi Ayyad University, Marrakesh, Morocco

2. Ecole Supérieure de Technologie d’Essaouira, Université Cadi Ayyad, B.P. 383 Essaouira El Jadida, Essaouira, Morocco

3. MAIS Laboratory, MAMCS Group, FST Errachidia, Moulay Ismail University of Meknes, P.O. Box: 509 Boutalamine, 52000 Errachidia, Morocco

Abstract

In this paper, the Landau–Lifshitz–Baryakhtar (LLBar) equation for magnetization dynamics in ferrimagnets is considered. We prove global existence of a periodic solutions as well as local existence and uniqueness of regular solutions. We also study the relationships between the Landau–Lifshitz–Baryakhtar equation and both Landau–Lifshitz–Bloch and harmonic map equations.

Publisher

IOS Press

Subject

General Mathematics

Reference29 articles.

1. On global weak solutions for Landau–Lifshitz equations: Existence and non uniqueness;Alouges;Nonlinear Anal.,1992

2. Regular solution for the compressible Landau–Lifshitz–Bloch equation in a bounded domain of R 3;Ayouch;J Elliptic Parabol Equ.,2022

3. On a model of magnetization dynamics with vertical spin stiffness

4. C. Ayouch, E.H. Essoufi and M. Tilioua, A finite difference scheme for the time-fractional Landau–Lifshitz–Bloch equation, Research in Applied Mathematics 1 (2017), Article ID 101264.

5. On a non scalar damping model in micromagnetism;Ayouch;Int. J. Dynamical Systems and Differential Equations,2018