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The global strong solution for Navier-Stokes equations in 3D　thin domains with Navier-friction boundary conditions
Hui Liu *,Zhong ChengKui
School of Mathematics and Statistics, Lanzhou University,
*Correspondence author
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Funding: Nation Science Foundation of China Grant（No.10771089）
Opened online:26 March 2008
Accepted by: none
Citation: Hui Liu,Zhong ChengKui .The global strong solution for Navier-Stokes equations in 3D　thin domains with Navier-friction boundary conditions[OL]. [26 March 2008] http://en.paper.edu.cn/en_releasepaper/content/19717
 
 
In this paper, we consider Navier-Stokes equations in thin 3D thin domain with more general Navier-friction boundary conditions (2.4) (compare with boundary condition in [1]). We prove the global existence of strong solutions for the initial data and external forces are in larger sets, and existence of attractor of strong solutions, we generalize the results in [1].
Keywords:3D Navier-Stokes equations, thin domains, Navier-friction boundary conditions,attractors.
 
 
 

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