Between Maxwell and Born-Infeld: the presence of the magnetic field
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866911363721330688 |
|---|---|
| author | d'Avenia, Pietro Mederski, Jarosław |
| author_facet | d'Avenia, Pietro Mederski, Jarosław |
| contents | Our motivation is to consider an electromagnetic Lagrangian density $\mathcal{L}_q$, depending on a parameter such that, for $q=1$ it corresponds to the Born-Infeld Lagrangian density and for $q=2$ it restores the Maxwell one. The model in the presence of given charge and current densities is investigated. We solve the pure magnetostatic problem for $q\in(6/5,2)$. We also study the electrostatic problem in the presence of an assigned magnetic field for $q\in[1,2)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_08924 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Between Maxwell and Born-Infeld: the presence of the magnetic field d'Avenia, Pietro Mederski, Jarosław Analysis of PDEs Mathematical Physics 35J93, 35Q60, 78A30 Our motivation is to consider an electromagnetic Lagrangian density $\mathcal{L}_q$, depending on a parameter such that, for $q=1$ it corresponds to the Born-Infeld Lagrangian density and for $q=2$ it restores the Maxwell one. The model in the presence of given charge and current densities is investigated. We solve the pure magnetostatic problem for $q\in(6/5,2)$. We also study the electrostatic problem in the presence of an assigned magnetic field for $q\in[1,2)$. |
| title | Between Maxwell and Born-Infeld: the presence of the magnetic field |
| topic | Analysis of PDEs Mathematical Physics 35J93, 35Q60, 78A30 |
| url | https://arxiv.org/abs/2403.08924 |