تقرير
A blow-down mechanism for the Landau-Coulomb equation
| العنوان: | A blow-down mechanism for the Landau-Coulomb equation |
|---|---|
| المؤلفون: | Gualdani, Maria Pia, Winter, Raphael |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs, Mathematical Physics, 35B25 |
| الوصف: | We investigate the Landau-Coulomb equation and show an explicit blow-down mechanism for a family of initial data that are small-scale, supercritical perturbations of a Maxwellian function. We establish global well-posedness and show that the initial bump region will disappear in a time of order one. We prove that the function remains close to an explicit function during the blow-down. As a consequence, our result shows exponential decay in time of the solution towards equilibrium. The key ingredients of our proof are the explicit blow-down function and a novel two-scale linearization in appropriate time-dependent spaces that yields uniform estimates in the perturbation parameter. Comment: 26 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2407.08670 |
| رقم الأكسشن: | edsarx.2407.08670 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |