| Applied Mathematics |
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| Soliton dynamics in planar ferromagnets and anti-ferromagnets |
| LIN Fang-hua, SHATAH Jalal |
| Courant Institute, New York University, NY 10012, USA |
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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.
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Received: 03 August 2003
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