تقرير
Anisotropic Hardy-Sobolev inequality in mixed Lorentz spaces with applications to the axisymmetric Navier-Stokes equations
| العنوان: | Anisotropic Hardy-Sobolev inequality in mixed Lorentz spaces with applications to the axisymmetric Navier-Stokes equations |
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| المؤلفون: | Wang, Yanqing, Huang, Yike, Wei, Wei, Yu, Huan |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs, Mathematics - Classical Analysis and ODEs, Mathematics - Functional Analysis |
| الوصف: | In this paper, we establish several new anisotropic Hardy-Sobolev inequalities in mixed Lebesgue spaces and mixed Lorentz spaces, which covers many known corresponding results. As an application, this type of inequalities allows us to generalize some regularity criteria of the 3D axisymmetric Navier-Stokes equations. Comment: 18 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2205.13893 |
| رقم الأكسشن: | edsarx.2205.13893 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |