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Static Theory for Planar Ferromagnets and Antiferromagnets
Authors:Feng Bo Hang  Fang Hua Lin
Institution:(1) Courant Institute, 251 Mercer Street, New York, NY 10012, USA, E-mail: fengbo@cims.nyu.edu, linf@cims.nyu.edu, US
Abstract:Here we generalize the “BBH”-asymptotic analysis to a simplified mathematical model for the planar ferromagnets and antiferromagnets. To develop such a static theory is a necessary step for a rigorous mathematical justification of dynamical laws for the magnetic vortices formally derived in 1] and 2]. Received March 15, 2001, Accepted May 16, 2001
Keywords:Ginzburg-Landau-type equations  Vortices  Minimizing harmonic maps  Gradient estimate  Radial solutions  Stability            Quantization
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