Global solutions of two coupled Maxwell systems in the temporal gauge
Analysis of PDEs
2015-04-02 v1
Abstract
In this paper, we consider the Maxwell-Klein-Gordon and Maxwell-Chern-Simons-Higgs systems in the temporal gauge. By using the fact that when the spatial gauge potentials are in the Coulomb gauge, their norms can be controlled by the energy of the corresponding system and their norms, and the gauge invariance of the systems, we show that finite energy solutions of these two systems exist globally in this gauge.
Keywords
Cite
@article{arxiv.1504.00330,
title = {Global solutions of two coupled Maxwell systems in the temporal gauge},
author = {Jianjun Yuan},
journal= {arXiv preprint arXiv:1504.00330},
year = {2015}
}