Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 322
Regular solution for a generalized Landau-Lifshitz-Bloch equation
Mohamed Benmouane, El Hassan Essoufi, Chahid Ayouch
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 30, 2022
March 03, 2278
April 15, 2278

Abstract: The Landau-Lifshitz-Bloch equation (LLB) describes the evolution of magnetic spin in ferromagnetic materials in high temperature, it is proposed by Garanin in [2]. Furthermore, in [3] Li derived an equation generalizing at the same time the (LLB) equation and the compressible Heisenberg chain equation, which is obtained by Fivez in [1]. In this communication, we prove a local in time existence and uniqueness of regular solution for a generalized Landau-Lifshitz-Bloch equation in a bounded domain of R^3, which proposed by Li in [3]. In order to prove the existence of this solution we use ...