摘要
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.
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.