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arXiv · 2310.05152

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

Philippe Anjolras
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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.

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Philippe Anjolras. 2023-10-08. Stability of the constant states in the augmented Born-Infeld system. https://arxiv.org/abs/2310.05152

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