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The Decay Rates of Strong Solutions for Navier-Stokes Equations

Authors:	Cheng He Ling Hsiao

Institution:	^a Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, 100080, People's Republic of Chinaf1cheng@math03.math.ac.cnf1 ^b Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, 100080, People's Republic of Chinaf2hsiaol@sun.ihep.ac.cnf2

Abstract:	In this paper, we deduce the estimates on decay rates of higher order derivatives about time variable and space variables for the strong solution to the Cauchy problem of the Navier-Stokes equations. The rate obtained is optimal in the sense that it coincides with that of solution to the heat equation.

Keywords:	Navier-Stokes equations decay rates
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