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Bibliographic Details
Main Author: Anjolras, Philippe
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2310.05152
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Table of Contents:
  • 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.