Acta mathematica scientia,Series B ›› 2010, Vol. 30 ›› Issue (4): 1235-1248.doi: 10.1016/S0252-9602(10)60120-8

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L2 DECAY OF THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DAMPING

 CAI Xiao-Jing1, LEI Li-Hua2   

  1. 1. Department of Mathematics, Beijing Technology and Business University, Beijing 100048, China; 2. Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China
  • Received:2007-12-12 Revised:2008-10-07 Online:2010-07-20 Published:2010-07-20

Abstract:

In this article, we show large time behavior of weak solutions to the Cauchy problem of the Navier-Stokes equations  with damping α|u|β-1u (α>0).

Key words: Navier-Stokes equations, damping, weak solutions, decay

CLC Number: 

  • 35Q35
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