title: Soliton dynamics in planar ferromagnets and anti-ferromagnets.
abstract: The aim of this paper is to present a rigorous mathematical proof of the dynamical laws for the topological solitons(magnetic vortices) in ferromagnets and anti-ferromagnets. It is achieved through the conservation laws for the topological vorticity and the weak convergence methods.
authors.affiliation: Courant Institute, New York University, NY 10012, USA. linf@cims.nyu.edu
authors.forename: Fang-Hua
authors.initials: FH
authors.lastname: Lin
authors.forename: Jalal
authors.initials: J
authors.lastname: Shatah
mesh_terms: D004560:Electricity; D007501:Iron / Q000737:chemistry*; D008280:Magnetics; D008962:Models, Theoretical; D010825:Physics / Q000379:methods*
chemical_list: D007501:Iron