On the singular set in the Navier-Stokes equations

Choe HJ.; Lewis JL.

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On the singular set in the Navier-Stokes equations

机译：关于Navier-Stokes方程的奇异集

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We consider suitably weak solutions (u, p) to the incompressible Navier-Stokes equations and under various assumptions on u obtain estimates for the size of its singular set. One of our results improves a well known theorem of Caffarelli, Kohn, and Nirenberg. (C) 2000 Academic Press. [References: 9]

机译：我们考虑了不可压缩的Navier-Stokes方程的适当弱解（u，p），并且在关于u的各种假设下，获得了其奇异集大小的估计。我们的结果之一改进了Caffarelli，Kohn和Nirenberg的一个著名定理。（C）2000学术出版社。 [参考：9]

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《Journal of Functional Analysis》 |2000年第2期|共22页
作者
Choe HJ.; Lewis JL.;
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正文语种 eng
中图分类数学;
关键词
Navier-stokes; Singular set; Reverse holder; Hausdorff measure; Regularity;

机译：Navier-stokes;奇异集;反向持有人;Hausdorff测度;正则性;

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1. On the box-counting dimension of the potential singular set for suitable weak solutions to the 3D Navier-Stokes equations [J] . Wang Yanqing, Wu Gang Nonlinearity . 2017,第5期

机译：关于3D Navier-Stokes方程的合适弱解决方案的盒计数尺寸
2. A remark on the box-counting dimension of the singular set for the navier-stokes equations [J] . Sadowski W. Communications in mathematical sciences . 2013,第2期

机译：关于navier-stokes方程的奇异集的计盒维数的注记
3. On the Dimension of the Singular Set of Solutions to the Navier-Stokes Equations [J] . Robinson J.C., Sadowski W. Communications in Mathematical Physics . 2012,第2期

机译：Navier-Stokes方程组奇异解的维数
4. GLOBAL SINGULAR BOUNDARY METHOD FOR SOLVING 2D NAVIER-STOKES EQUATIONS [C] . JURAJ MUZIK, ROMAN BULKO International Conference on Boundary Elements and Other Mesh Reduction Methods . 2019

机译：解决2D Navier-Stokes方程的全局奇异边界法
5. Singular sets of a class of fully non-linear equations in conformal geometry. [D] . Gonzalez Nogueras, Maria del Mar. 2004

机译：共形几何中的一类完全非线性方程的奇异集。
6. Assessment of air flow distribution and hazardous release dispersion around a single obstacle using Reynolds-averaged Navier-Stokes equations [O] . Konstantinos Vasilopoulos, Ioannis E. Sarris, Panagiotis Tsoutsanis 2019

机译：使用雷诺平均Navier-Stokes方程评估单个障碍物周围的气流分布和有害释放物扩散
7. Remarks on the singular set of suitable weak solutions to the 3D Navier-Stokes equations [O] . Ren Wei, Wang Yanqing, Wu Gang 2017

机译：关于三维适当弱解的奇异集合的注释 Navier-stokes方程
8. Singular Set and the Uniqueness of Weak Solutions of the Navier-Stokes Equations [R] . Sohr, H., Vonwahl, W. 1984

机译：奇异集与Navier-stokes方程弱解的唯一性

On the singular set in the Navier-Stokes equations

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