The Landau-Lifshitz-Gilbert equation with rough initial data

Abstract:

 

 

In this talk we will consider the Landau-Lifshitz-Gilbert equation, a model describing the dynamics for the spin in ferromagnetic materials. We will discuss the Cauchy problem with initial conditions that are not in the standard Sobolev spaces, but are in the BMO (bounded mean oscillation) space. By using the stereographic projection, this problem is related to the Cauchy problem for a nonlinear Schrodinger equation with rough initial data.

Date: Dec 18, 2014 at 14:30 h
Venue: Beauchef 851, Torre Norte 5to piso. Sala de Seminarios DIM
Speaker: André de Laire
Affiliation: Laboratoire Paul Painlevé, Université Lille 1
Coordinator: Juan Diego Dávila
Abstract:
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Posted on Dec 15, 2014 in Differential Equations, Seminars