On a fractional phase transition model in ferromagnetism

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.

Keywords

• Phase transition
• fractional Laplacian
• weak solution
• existence and uniqueness
• Faedo-Galerkin method