On a fractional phase transition model in ferromagnetism
Date
2018-10-26
Authors
Ayouch, Chahid
Essoufi, El-Hassan
Ouhadan, Mohamed
Tilioua, Mouhcine
Journal Title
Journal ISSN
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.
Rights
Attribution 4.0 International