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.
"Global Existence of Weak Solutions to a Fractional Model in Magnetoelastic Interactions." Abstr. Appl. Anal. 2016 (SI2) 1 - 9, 2016. https://doi.org/10.1155/2016/9238948