On regularity criteria for the n-dimensional Navier-Stokes equations in terms of the pressure

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:244

Article

Fan, Jishan²  Jiang, Song¹  Ni, Guoxi¹ 

[1] Inst Appl Phys & Computat Math, LCP, Beijing 100088, Peoples R China

[2] Nanjing Forestry Univ, Dept Appl Math, Nanjing 210037, Peoples R China

关键词: Navier-Stokes equations;    regularity criteria;    Morrey spaces;    Besov spaces;    multiplier spaces;   

DOI  :  10.1016/j.jde.2008.02.030

来源: Elsevier

【 摘 要 】

We study the Cauchy problem for the n-dimensional Navier-Stokes equations (n >= 3), and prove some regularity criteria involving the integrability of the pressure or the pressure gradient for weak solutions in the Morrey, Besov and multiplier spaces. (c) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free