Asymptotic limit for condensate solutions in the Abelian Chern-Simons Higgs model II
HTML articles powered by AMS MathViewer
- by Jongmin Han PDF
- Proc. Amer. Math. Soc. 131 (2003), 3827-3832 Request permission
Abstract:
In this paper we show that the maximal condensate solutions $(\phi ^\epsilon , A^\epsilon )$ in the Abelian Chern-Simons Higgs model converge to $(\phi _*,A_*)$ in higher norms, where $\phi _*$ is a harmonic map.References
- Fabrice Bethuel, Haïm Brezis, and Frédéric Hélein, Asymptotics for the minimization of a Ginzburg-Landau functional, Calc. Var. Partial Differential Equations 1 (1993), no. 2, 123–148. MR 1261720, DOI 10.1007/BF01191614
- Luis A. Caffarelli and Yi Song Yang, Vortex condensation in the Chern-Simons Higgs model: an existence theorem, Comm. Math. Phys. 168 (1995), no. 2, 321–336. MR 1324400, DOI 10.1007/BF02101552
- Jongmin Han, Asymptotics for the vortex condensate solutions in Chern-Simons-Higgs theory, Asymptot. Anal. 28 (2001), no. 1, 31–48. MR 1865569
- J. Han, Asymptotic limit for condensate solutions in the Abelian Chern-Simons Higgs model, Proc. Amer. Math. Soc. 131 (2003), 1839-1845.
- Jooyoo Hong, Yoonbai Kim, and Pong Youl Pac, Multivortex solutions of the abelian Chern-Simons-Higgs theory, Phys. Rev. Lett. 64 (1990), no. 19, 2230–2233. MR 1050529, DOI 10.1103/PhysRevLett.64.2230
- R. Jackiw and Erick J. Weinberg, Self-dual Chern-Simons vortices, Phys. Rev. Lett. 64 (1990), no. 19, 2234–2237. MR 1050530, DOI 10.1103/PhysRevLett.64.2234
- Arthur Jaffe and Clifford Taubes, Vortices and monopoles, Progress in Physics, vol. 2, Birkhäuser, Boston, Mass., 1980. Structure of static gauge theories. MR 614447
- Gabriella Tarantello, Multiple condensate solutions for the Chern-Simons-Higgs theory, J. Math. Phys. 37 (1996), no. 8, 3769–3796. MR 1400816, DOI 10.1063/1.531601
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@hufs.ac.kr
- Received by editor(s): July 24, 2002
- Published electronically: April 24, 2003
- Additional Notes: This research was supported by the research fund of Hankuk University of Foreign Studies, 2002
- Communicated by: David S. Tartakoff
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 3827-3832
- MSC (2000): Primary 35B40, 81T13
- DOI: https://doi.org/10.1090/S0002-9939-03-07020-5
- MathSciNet review: 1999930