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Article type: Research Article
Authors: Han, Jongmin | Kim, Namkwon;
Affiliations: Department of Mathematics, Hankuk University of Foreign Studies, 89 Wangsan-ri Mohyun, Yongin, Kyounggi-do 449-791, Republic of Korea | Department of Mathematics, Chosun University, Kwangju, 501-759, Republic of Korea E-mail: kimnamkw@chosun.ac.kr
Note: [] Corresponding author.
Abstract: In this paper we are concerned with the asymptotic behavior of the relativistic Maxwell–Chern–Simons (MCS) vortices on the unit disc. We establish the existence of a radial solution of the static MCS equations which is a minimizer of the MCS functional in the class of radial functions, and derive the asymptotic limit of the radial solution. As a consequence, we obtain a set of elliptic linear equations which is a generalization of the London equation for the Ginzburg–Landau model.
Keywords: Maxwell–Chern–Simons Higgs model, asymptotics, London equation
Journal: Asymptotic Analysis, vol. 52, no. 3-4, pp. 207-225, 2007
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