On the interior regularity criteria and the number of singular points to the Navier-Stokes equations | |
Wang, Wendong ; Zhang, Zhifei | |
2014 | |
关键词 | SUITABLE WEAK SOLUTIONS SPACES PROOF |
英文摘要 | We establish some interior regularity criteria for suitable weak solutions of the 3-D Navier-Stokes equations which allow the vertical part of the velocity to be large under the local scaling invariant norm. As an application, we improve Ladyzhenskaya-Prodi-Serrin's criterion and Escauriza-Seregin-verak's criterion. We also show that if a weak solution u satisfies parallel to u(.,t)parallel to L-P <= C(-t)((3-P)/2p) for some 3 < p < a, then the number of singular points is finite.; Mathematics; SCI(E); 0; ARTICLE; wendong@dlut.edu.cn; zfzhang@math.pku.edu.cn; 139-170; 123 |
语种 | 英语 |
出处 | SCI |
出版者 | journal d analyse mathematique |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/247296] |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Wang, Wendong,Zhang, Zhifei. On the interior regularity criteria and the number of singular points to the Navier-Stokes equations. 2014-01-01. |
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