Stability of the constant states in the augmented Born-Infeld system
Analysis of PDEs
2024-08-15 v2
Abstract
In this paper, we consider the Born-Infeld system, arising as a nonlinear model of electromagnetism, and its extension introduced by Brenier [Bre04] the so-called "augmented Born-Infeld system". We show that this system enjoys a non-resonance structure and prove global existence and linear asymptotic behaviour of small (admissible) perturbations of arbitrary constant states.
Keywords
Cite
@article{arxiv.2310.05152,
title = {Stability of the constant states in the augmented Born-Infeld system},
author = {Philippe Anjolras},
journal= {arXiv preprint arXiv:2310.05152},
year = {2024}
}
Comments
68 pages. Updated version after reviewer's comments. To be published in JHDE