Static Theory for Planar Ferromagnets and Antiferromagnets |
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Authors: | Feng Bo Hang Fang Hua Lin |
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Institution: | (1) Courant Institute, 251 Mercer Street, New York, NY 10012, USA, E-mail: fengbo@cims.nyu.edu, linf@cims.nyu.edu, US |
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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 |
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Keywords: | Ginzburg-Landau-type equations Vortices Minimizing harmonic maps Gradient estimate Radial solutions Stability Quantization |
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