Report
Improved bounds for box dimensions of potential singular points to the Navier--Stokes equations
| العنوان: | Improved bounds for box dimensions of potential singular points to the Navier--Stokes equations |
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| المؤلفون: | Wang, Yanqing, Yang, Minsuk |
| سنة النشر: | 2018 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs |
| الوصف: | In this paper, we study the potential singular points of interior and boundary suitable weak solutions to the 3D Navier--Stokes equations. It is shown that upper box dimension of interior singular points and boundary singular points are bounded by $7/6$ and $10/9$, respectively. Both proofs rely on recent progress of $\varepsilon$-regularity criteria at one scale. Comment: 16 pages |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1088/1361-6544/ab3f51 |
| URL الوصول: | http://arxiv.org/abs/1812.00900 |
| رقم الانضمام: | edsarx.1812.00900 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1088/1361-6544/ab3f51 |
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