تقرير
Between Maxwell and Born-Infeld: the presence of the magnetic field
| العنوان: | Between Maxwell and Born-Infeld: the presence of the magnetic field |
|---|---|
| المؤلفون: | d'Avenia, Pietro, Mederski, Jarosław |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs, Mathematical Physics, 35J93, 35Q60, 78A30 |
| الوصف: | 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 $q\in[1,2)$. Comment: 16 pages, minor corrections |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2403.08924 |
| رقم الأكسشن: | edsarx.2403.08924 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |