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Structure of 2D incompressible flows with the Dirichlet boundary conditions
1.  Department of Mathematics, Sichuan University, Chengdu 
2.  Department of Mathematics, Indiana University, Bloomington, IN 47405 
The main motivation of this article is to provide an important step for a forthcoming paper, where, for the first time, we are able to establish precise rigorous criteria on boundary layer separations of incompressible fluid flows, a long standing problem in fluid mechanics.
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