Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2018; 33(3): 871-888

Online first article March 23, 2018      Printed July 31, 2018

https://doi.org/10.4134/CKMS.c170290

Copyright © The Korean Mathematical Society.

Nonrelativistic limit of Chern-Simons gauged field equations

Myeongju Chae, Jihyun Yim

Hankyong National University, Chung-Ang University University

Abstract

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We study the nonrelativistic limit of the Chern-Simons-Dirac system on $\mathbb{R}^{1+2}$. As the light speed $c$ goes to infinity, we first prove that there exists an uniform existence interval $[0, T]$ for the family of solutions $\psi^c$ corresponding to the initial data for the Dirac spinor $\psi_0^c$ which is bounded in $H^s$ for $ \frac 12

Keywords: Chern-Simons-Dirac system, nonrelativistic limit

MSC numbers: 35L02, 35L70

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