Global Existence of Weak Solutions to a Fractional Model in Magnetoelastic Interactions
Joint Authors
Tilioua, Mouhcine
Ellahiani, Idriss
Essoufi, EL-Hassan
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-10-24
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The paper deals with global existence of weak solutions to a one-dimensional mathematical model describing magnetoelastic interactions.
The model is described by a fractional Landau-Lifshitz-Gilbert equation for the magnetization field 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.
American Psychological Association (APA)
Ellahiani, Idriss& Essoufi, EL-Hassan& Tilioua, Mouhcine. 2016. Global Existence of Weak Solutions to a Fractional Model in Magnetoelastic Interactions. Abstract and Applied Analysis،Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1094776
Modern Language Association (MLA)
Ellahiani, Idriss…[et al.]. Global Existence of Weak Solutions to a Fractional Model in Magnetoelastic Interactions. Abstract and Applied Analysis No. 2016 (2016), pp.1-9.
https://search.emarefa.net/detail/BIM-1094776
American Medical Association (AMA)
Ellahiani, Idriss& Essoufi, EL-Hassan& Tilioua, Mouhcine. Global Existence of Weak Solutions to a Fractional Model in Magnetoelastic Interactions. Abstract and Applied Analysis. 2016. Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1094776
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1094776
