Systèmes dynamiques
(In-)stability of singular equivariant solutions to the Landau-Lifshitz-Gilbert equation
Williams, John Frederick
Simon Fraser University

In this talk I will present formal asymptotic arguments to understand the stability properties of equivariant solutions to the Landau-Lifshitz-Gilbert model for ferromagnets. I will also analyze the limit cases of harmonic map heat flow and the Schrödinger map flow. All asymptotic results are verified by detailed numerical experiments, as well as a robust topological argument. The key result of this paper is that blowup solutions to these problems are co-dimension one and hence both unstable and non-generic. This joint work with Jan Bouwe van den Berg.

Mercredi, 19 juin, 10h30
Salle Des Plaines A