These two talks are the part of the London Analysis and Probability Seminar
Susana Gutierrez (University of Birmigham)
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.
Oliver Tse (University of Kaiserslautern)
The Bohm potential and a regularized system of self-gravitating particles
Abstract:
We consider a regularized macroscopic model describing a system of self-gravitating particles. We study the existence and uniqueness of nonnegative solutions and allude the differences to results obtained from classical gravitational models.