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 306
Global weak solutions of the fractional model in magneto-elastic interactions
Mohamed El Idrissi, El Hassan Essoufi, Chahid Ayouch, Idriss Ellahiani
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 30, 2022
March 03, 2265
April 15, 2265

Abstract: The presentation deals with global existence of weak solutions to a three-dimensional mathematical model describing magnetoelastic interactions.The model is described by a fractional generalization of the harmonic map heat flow coupled to an evolution equation for the displacement. We prove global existence by using Faedo Galerkin/Penalty method. Some commutator estimates are used to prove the convergence of nonlinear terms.