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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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