We study the Landau-Lifshitz equation of ferromagnetism on R2, with an easy-axis anisotropy. We establish the existence of topologically nontrivial, periodic solutions, and show they are stable against equivariant perturbations. Along the way, we establish the global well-posedness of the Cauchy problem for a class of data with no size restriction.
ASJC Scopus subject areas
- Applied Mathematics