Stability of the constant states in the augmented Born-Infeld system

2023/10/08 by Anjolras, Philippe · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/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.

Cited by

• Scattering of the 2D modified Zakharov-Kuznetsov equation

Related

• A perturbation approach for the Schrödinger-Born-Infeld system: solutions in the subcritical and critical case
• Exact Solutions to the Nonlinear Governing Equations of the Born-Infeld Theory
• Nonlinear stability for the Maxwell-Born-Infeld system on a\n Schwarzschild background
• The Born-Infeld electromagnetism in Kaluza-Klein theory
• On the Schrödinger-Born-Infeld system