Asymptotic limit for condensate solutions in the Abelian Chern-Simons Higgs model
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- by Jongmin Han PDF
- Proc. Amer. Math. Soc. 131 (2003), 1839-1845 Request permission
Abstract:
In this paper we show that the maximal solutions $(\phi ^\epsilon , A^\epsilon )$ in the Abelian Chern-Simons Higgs model on a ’t Hooft type periodic domain converges to $(\phi _*,A_*)$ and $\phi _*$ is a harmonic map. We also study asymptotic behaviors of the energy density.References
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Additional Information
- Jongmin Han
- Affiliation: Department of Mathematics, Hankuk University of Foreign Studies, 89 Wangsan-ri Mohyun, Yongin, Kyounggi-do 449-791, Korea
- MR Author ID: 642075
- Email: jmhan@maincc.hufs.ac.kr
- Received by editor(s): September 19, 2001
- Received by editor(s) in revised form: January 29, 2002
- Published electronically: October 1, 2002
- Communicated by: David S. Tartakoff
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 1839-1845
- MSC (2000): Primary 35B40, 81T13
- DOI: https://doi.org/10.1090/S0002-9939-02-06737-0
- MathSciNet review: 1955272