Stability of the constant states in the augmented Born-Infeld system
arXiv:2310.05152
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.
arXiv comment68 pages. Updated version after reviewer's comments. To be published in JHDE