A remark on the regularity criterion for the 3D Navier-Stokes equations involving the gradient of one velocity component

作者：Zhang, Zujin^*

来源：Journal of Mathematical Analysis and Applications, 2014, 414(1): 472-479.

DOI：10.1016/j.jmaa.2014.01.006

• Regularity criteria
• Navier-Stokes equations

In this paper, we consider the regularity criterion for weak solutions to the 3D Navier-Stokes equations. We show that if del u(3) belongs to Some multiplier spaces, then the solution actually is smooth on (0,T). In particular, we have the regularity condition in the BMO spaces: del u(3) is an element of L-4/3 (0, T; BMO), which improves previous results.

• 出版日期2014-6-1
• 单位赣南师范大学