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May  2009, 8(3): 1067-1072. doi: 10.3934/cpaa.2009.8.1067

On global regularity of incompressible Navier-Stokes equations in $\mathbf R^3$

Keyan Wang 1,

1. 

Department of Mathematics, Shanghai Finance University, Shanghai 201209

Received  April 2008 Revised  October 2008 Published  February 2009

In this paper we prove the global regularity of classical solutions to the incompressible Navier-Stokes equations in $\mathbf R^3$ for a family of large initial data with finite energy.
Keywords: Incompressible Navier-Stokes equations, global regularity, large data..
Mathematics Subject Classification: Primary: 76D03; Secondary: 35Q3.
Citation: Keyan Wang. On global regularity of incompressible Navier-Stokes equations in $\mathbf R^3$. Communications on Pure and Applied Analysis, 2009, 8 (3) : 1067-1072. doi: 10.3934/cpaa.2009.8.1067
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