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Static Theory for Planar Ferromagnets and Antiferromagnets

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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].

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Authors and Affiliations

  1. Courant Institute, 251 Mercer Street, New York, NY 10012, USA

    Feng Bo Hang* & Fang Hua Lin**

Authors
  1. Feng Bo Hang*
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  2. Fang Hua Lin**
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Correspondence to Feng Bo Hang*.

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* Supported by the Dean’s Dissertation Fellowship. Current address: Dept. of Math, Princeton University, Fine Hall, Washington Road, Princeton, NJ 08544 USA, E-mail: fhang@math.princeton.edu

** Supported by a NSF grant

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Hang*, F.B., Lin**, F.H. Static Theory for Planar Ferromagnets and Antiferromagnets. Acta Math Sinica 17, 541–580 (2001). https://doi.org/10.1007/s101140100136

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  • DOI: https://doi.org/10.1007/s101140100136

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