On a fractional phase transition model in ferromagnetism

On a fractional phase transition model in ferromagnetism

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-Galerk...

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Bibliographic Details
Main Authors: Chahid Ayouch, El-Hassan Essoufi, Mohamed Ouhadan, Mouhcine Tilioua
Format: Article
Language:English
Published: Texas State University 2018-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Phase transition
fractional Laplacian
weak solution
existence and uniqueness
Faedo-Galerkin method
Online Access:http://ejde.math.txstate.edu/Volumes/2018/175/abstr.html
Description
Summary: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.
ISSN:1072-6691

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