Articles

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

  • Sadek Gala
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  • Department of Mathematics, University of Mostaganem, Box 227, Mostaganem 27000, Algeria

Received date: 2009-02-23

  Online published: 2010-09-20

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.

Cite this article

Sadek Gala . REMARK ON THE BLOW-UP CRITERION OF STRONG SOLUTIONS TO THE NAVIER-STOKES EQUATIONS IN MULTIPLIER SPACES[J]. Acta mathematica scientia, Series B, 2010 , 30(5) : 1413 -1418 . DOI: 10.1016/S0252-9602(10)60133-6

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