Stability of the constant states in the augmented Born-Infeld system
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866929458714247168 |
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| author | Anjolras, Philippe |
| author_facet | Anjolras, Philippe |
| 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_05152 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Stability of the constant states in the augmented Born-Infeld system Anjolras, Philippe Analysis of PDEs 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. |
| title | Stability of the constant states in the augmented Born-Infeld system |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2310.05152 |