Susana Gutierrez (Birmingham)

Self-similar solutions of the one-dimensional Landau-Lifshitz-Gilbert equation.

Abstract:

We consider the one-dimensional Landau-Lifshitz-Gilbert equation, a model describing the dynamics for the spin in ferromagnetic materials. Our main aim is the construction of a bi-parametric family of self-similar solutions for this model and the analytical study of these solutions with respect to the so-called Gilbert damping parameter.