Asymptotics for the vortex condensate solutions in Chern–Simons–Higgs theory

Article type: Research Article

Authors: Han, Jongmin

Affiliations: Department of Mathematics, Hankuk University of Foreign Studies, 89 Wangsan‐ri Mohyun, Yongin‐si, Kyounggi‐do 449‐791, Korea E‐mail: [email protected]

Note: [] Current address: Department of Mathematics, Seoul National University, Kwanak‐gu, Seoul, 151‐742, Korea.

Abstract: In this paper we study asymptotic behaviors of the maximal vortex condensate solutions in the Chern–Simons–Higgs theory when the coupling parameter κ goes to zero. Using Tarantello's weak convergence result for F12 [16], we derive the weak convergence of A0/κ. As a consequence we compute the locally uniform convergence rate of Higgs fields, |�κ|2→1, away from the vortices and the blow‐up rate of |ψκj|2 at the vortex point pj.

Journal: Asymptotic Analysis, vol. 28, no. 1, pp. 31-48, 2001