تقرير
Counter examples for bilinear estimates related to the two-dimensional stationary Navier--Stokes equation
| العنوان: | Counter examples for bilinear estimates related to the two-dimensional stationary Navier--Stokes equation |
|---|---|
| المؤلفون: | Fujii, Mikihiro |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs, 42B35, 35R25 |
| الوصف: | In this paper, we are concerned with bilinear estimates related to the two-dimensional stationary Navier--Stokes equation. By establishing concrete counter examples, we prove the bilinear estimates fail for almost all scaling critical Besov spaces. Our result may be closely related to an open problem whether the two-dimensional stationary Navier--Stokes equation on the whole plane $\mathbb{R}^2$ is well-posed or ill-posed in scaling critical Besov spaces. Comment: 12 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2304.08355 |
| رقم الأكسشن: | edsarx.2304.08355 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |