On a fractional phase transition model in ferromagnetism

Date

2018-10-26

Authors

Ayouch, Chahid
Essoufi, El-Hassan
Ouhadan, Mohamed
Tilioua, Mouhcine

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Volume Title

Publisher

Texas State University, Department of Mathematics

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.

Description

Keywords

Phase transition, Fractional Laplacian, Weak solution, Existence and uniqueness, Faedo-Galerkin method

Citation

Ayouch, C., Essoufi, E. H., Ouhadan, M., & Tilioua, M. (2018). On a fractional phase transition model in ferromagnetism. <i>Electronic Journal of Differential Equations, 2018</i>(175), pp. 1-12.

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Attribution 4.0 International

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