Frontiers of Mathematics in China >

2017 , Vol. 12 >Issue 2: 359 - 366

DOI: https://doi.org/10.1007/s11464-016-0611-2

RESEARCH ARTICLE

Two regularity criteria for 3D Navier-Stokes equations in a bounded domain

  • Jishan FAN 1 ,
  • Fucai LI , 2 ,
  • Gen NAKAMURA 3
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  • 1. Department of Applied Mathematics, Nanjing Forestry University, Nanjing 210037, China
  • 2. Department of Mathematics, Nanjing University, Nanjing 210093, China
  • 3. Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan

Received date: 08 Jun 2015

Accepted date: 25 Oct 2016

Published date: 20 Feb 2017

Copyright

2016 Higher Education Press and Springer-Verlag Berlin Heidelberg
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Abstract

We prove two new regularity criteria for the 3D incompressible Navier-Stokes equations in a bounded domain. Our results also hold for the 3D Boussinesq system with zero heat conductivity.

Key words： 3D incompressible Navier-Stokes equations; Boussinesq system; regularity criterion

Cite this article

Jishan FAN , Fucai LI , Gen NAKAMURA . Two regularity criteria for 3D Navier-Stokes equations in a bounded domain[J]. Frontiers of Mathematics in China, 2017 , 12(2) : 359 -366 . DOI: 10.1007/s11464-016-0611-2

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