Static Theory for Planar Ferromagnets and Antiferromagnets

Feng Bo Hang; Fang Hua Lin

doi:10.1007/s101140100136

Static Theory for Planar Ferromagnets and Antiferromagnets

Feng Bo Hang, Fang Hua Lin

Mathematics

Research output: Contribution to journal › Article › peer-review

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].

Original language	English (US)
Pages (from-to)	541-580
Number of pages	40
Journal	Acta Mathematica Sinica, English Series
Volume	17
Issue number	4
DOIs	https://doi.org/10.1007/s101140100136
State	Published - Oct 2001

Keywords

Ginzburg-Landau-type equations
Gradient estimate
Minimizing harmonic maps
Quantization
Radial solutions
Stability
Vortices

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1007/s101140100136

Cite this

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title = "Static Theory for Planar Ferromagnets and Antiferromagnets",

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].",

keywords = "Ginzburg-Landau-type equations, Gradient estimate, Minimizing harmonic maps, Quantization, Radial solutions, Stability, Vortices",

author = "Hang, {Feng Bo} and Lin, {Fang Hua}",

note = "Funding Information: Received March 15, 2001, Accepted May 16, 2001 1) Supported by the Dean{\textquoteright}s Dissertation Fellowship. Current address: Dept. of Math, Princeton University, Fine Hall, Washington Road, Princeton, NJ 08544 USA, E-mail: fhang@math.princeton.edu 2) Supported by a NSF grant Copyright: Copyright 2018 Elsevier B.V., All rights reserved.",

year = "2001",

month = oct,

doi = "10.1007/s101140100136",

language = "English (US)",

volume = "17",

pages = "541--580",

journal = "Acta Mathematica Sinica, English Series",

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T1 - Static Theory for Planar Ferromagnets and Antiferromagnets

AU - Hang, Feng Bo

AU - Lin, Fang Hua

N1 - Funding Information: Received March 15, 2001, Accepted May 16, 2001 1) 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 2) Supported by a NSF grant Copyright: Copyright 2018 Elsevier B.V., All rights reserved.

PY - 2001/10

Y1 - 2001/10

N2 - 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].

AB - 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].

KW - Ginzburg-Landau-type equations

KW - Gradient estimate

KW - Minimizing harmonic maps

KW - Quantization

KW - Radial solutions

KW - Stability

KW - Vortices

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JO - Acta Mathematica Sinica, English Series

JF - Acta Mathematica Sinica, English Series

IS - 4

ER -

Static Theory for Planar Ferromagnets and Antiferromagnets

Abstract

Keywords

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