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.