تقرير
Ionized Gas in an Annular Region
| العنوان: | Ionized Gas in an Annular Region |
|---|---|
| المؤلفون: | Strauss, Walter A., Suzuki, Masahiro |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs, Mathematical Physics, 35M33, 35B32, 35B35, 76X05 |
| الوصف: | We consider a plasma that is created by a high voltage difference $\lambda$, which is known as a Townsend discharge. We consider it to be confined to the region $\Omega$ between two concentric spheres, two concentric cylinders, or more generally between two star-shaped surfaces. We first prove that if the plasma is initially relatively dilute, then either it may remain dilute for all time or it may not, depending on a certain parameter $\kappa(\lambda, \Omega)$. Secondly, we prove that there is a connected one-parameter family of steady states. This family connects the non-ionized gas to a plasma, either with a sparking voltage $\lambda^*$ or with very high ionization, at least in the cylindrical or spherical cases. Comment: 43 pages, 3 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2403.13174 |
| رقم الأكسشن: | edsarx.2403.13174 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |