数学物理学报(英文版) ›› 2010, Vol. 30 ›› Issue (5): 1413-1418.doi: 10.1016/S0252-9602(10)60133-6

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REMARK ON THE BLOW-UP CRITERION OF STRONG SOLUTIONS TO THE NAVIER-STOKES EQUATIONS IN MULTIPLIER SPACES

Sadek Gala   

  1. Department of Mathematics, University of Mostaganem, Box 227, Mostaganem 27000, Algeria
  • 收稿日期:2009-02-23 出版日期:2010-09-20 发布日期:2010-09-20

REMARK ON THE BLOW-UP CRITERION OF STRONG SOLUTIONS TO THE NAVIER-STOKES EQUATIONS IN MULTIPLIER SPACES

Sadek Gala   

  1. Department of Mathematics, University of Mostaganem, Box 227, Mostaganem 27000, Algeria
  • Received:2009-02-23 Online:2010-09-20 Published:2010-09-20

摘要:

In this note, we prove that Xr ( 0<r<1)  norm of the vorticity controls the blow-up phenomena of strong solutions to the Navier-Stokes equations in R3.

关键词: Navier-Stokes equation, blow-up criterion, a priori estimates

Abstract:

In this note, we prove that Xr ( 0<r<1)  norm of the vorticity controls the blow-up phenomena of strong solutions to the Navier-Stokes equations in R3.

Key words: Navier-Stokes equation, blow-up criterion, a priori estimates

中图分类号: 

  • 35Q35