Global Existence of Weak Solutions to a Fractional Model in Magnetoelastic Interactions

الملخص EN

The paper deals with global existence of weak solutions to a one-dimensional mathematical model describing magnetoelastic interactions.

The model is described by a fractional Landau-Lifshitz-Gilbert equation for the magnetization field coupled to an evolution equation for the displacement.

We prove global existence by using Faedo-Galerkin/penalty method.

Some commutator estimates are used to prove the convergence of nonlinear terms.