Maxwell-Born-Infeld 系统平凡解的非线性稳定性
数学物理
2015-05-19 v2 偏微分方程分析
math.MP
摘要
本文利用无电磁规范框架，建立了 1+3 维闵可夫斯基时空背景下 Maxwell-Born-Infeld (MBI) 系统的小数据全局解的存在性。由于系统中的非线性项满足某种形式的零条件，我们还能证明这些解的衰减率与线性 Maxwell-Maxwell 系统的解完全相同。此外，我们证明了在任意洛伦兹流形上，MBI 系统在其拉格朗日量取实值的场强区域内是双曲的。
引用
@article{arxiv.1008.5018,
title = {The Nonlinear Stability of the Trivial Solution to the Maxwell-Born-Infeld System},
author = {Jared Speck},
journal= {arXiv preprint arXiv:1008.5018},
year = {2015}
}
备注
A few additional comments and some references were added. Some typos were corrected. 73 pages