Report
Global regularity of 2D Rayleigh-B\'{e}nard equations with logarithmic supercritical dissipation
| العنوان: | Global regularity of 2D Rayleigh-B\'{e}nard equations with logarithmic supercritical dissipation |
|---|---|
| المؤلفون: | Yuan, Baoquan, Xu, Xinyuan, Li, Changhao |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs, 35Q35, 76D03, 35B65 |
| الوصف: | In this paper, we study the global regularity problem for the 2D Rayleigh-B\'{e}nard equations with logarithmic supercritical dissipation. By exploiting a combined quantity of the system, the technique of Littlewood-Paley decomposition and Besov spaces, and some commutator estimates, we establish the global regularity of a strong solution to this equations in the Sobolev space $H^{s}(\mathbb{R}^{2})$ for $s \ge2$. Comment: 18 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2404.07737 |
| رقم الانضمام: | edsarx.2404.07737 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |