Electron. J. Differential Equations,
Vol. 2018 (2018), No. 175, pp. 1-12.
On a fractional phase transition model in ferromagnetism
Chahid Ayouch, El-Hassan Essoufi, Mohamed Ouhadan, Mouhcine Tilioua
Abstract:
We consider a fractional model describing phase transition in ferromagnetic
materials. This model includes the three-dimensional evolution of both
thermodynamic and electromagnetic properties of the ferromagnetic material.
We first prove existence of a global weak solution by using
Faedo-Galerkin method. Then we establish uniqueness for the considered model.
Submitted June 9, 2018. Published October 26, 2018.
Math Subject Classifications: 78A25, 82C26, 35Q60, 35R11, 35D30.
Key Words: Phase transition; fractional Laplacian; weak solution;
existence and uniqueness; Faedo-Galerkin method.
Show me the PDF file (235 KB),
TEX file for this article.
 |
Chahid Ayouch
FST Marrakesh, Department of Mathematics and Computer Sciences
Cadi Ayyad University
B.P. 549 Guéliz
40000 Marrakesh, Morocco
email: ay-chahid@hotmail.fr
|
|---|
 |
El-Hassan Essoufi
MISI Laboratory
Hassan 1 University
FST Settat, Morocco
email: e.h.essoufi@gmail.com
|
|---|
 |
Mohamed Ouhadan
Univ. My Ismaïl, FST Errachidia
M2I Laboratory, MAMCS Group, P.O. Box 509
Boutalamine 52000 Errachidia, Morocco
email: ouhadanmohamed@gmail.com
|
|---|
 |
Mouhcine Tilioua
Univ. My Ismaïl
FST Errachidia, M2I Laboratory
MAMCS Group, P.O. Box 509
Boutalamine 52000 Errachidia, Morocco
email: m.tilioua@fste.umi.ac.ma
|
|---|
Return to the EJDE web page