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On the Chern-Simons limit for a Maxwell-Chern-Simons model on bounded domains |
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| Authors: | Jongmin Han |
| Institution: | a Department of Mathematics, Hankuk University of Foreign Studies, Yongin, Kyounggi-do, 449-791 Republic of Korea b Department of Mathematics, Kyung Hee University, 1 Hoeki-dong, Dongdaemoon-gu, Seoul, 130-701 Republic of Korea |
| Abstract: | This paper concerns the Chern-Simons limit for the Abelian Maxwell-Chern-Simons model on bounded domains with vanishing gauge fields. We prove that every sequence of solutions of the Maxwell-Chern-Simons equations has a subsequence converging to a solution of the Chern-Simons equation in any Ck norms. We also show that the Maxwell-Chern-Simons equations with the nontopological type boundary condition do not admit any nontrivial solutions on star-shaped domains. |
| Keywords: | Maxwell-Chern-Simons model Chern-Simons limit |
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