Logo

Mathematical Sciences Research Institute

Home » Harmonic Analysis Seminar: The Cauchy problem for the Landau-Lifshitz-Gilbert equation in BMO and self-similar solutions

Seminar

Harmonic Analysis Seminar: The Cauchy problem for the Landau-Lifshitz-Gilbert equation in BMO and self-similar solutions April 12, 2017 (02:00 PM PDT - 03:00 PM PDT)
Parent Program:
Location: MSRI: Simons Auditorium
Speaker(s) Susana Gutierrez (University of Birmingham)
Description No Description
Video
No Video Uploaded
Abstract/Media

The Landau-Lifshitz-Gilbert equation (LLG) is a continuum model describing the dynamics for the spin in ferromagnetic materials. In the first part of this talk we describe our work concerning the properties and dynamical behaviour of the family of self-similar solutions under the one-dimensional LLG-equation.  Motivated by the properties of this family of self-similar solutions, in the second part of this talk we consider the Cauchy problem for the LLG-equation with Gilbert damping and provide a global well-posedness result provided that the BMO norm of the initial data is small.  Several consequences of this result will be also given.

No Notes/Supplements Uploaded No Video Files Uploaded