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Navier and Stokes meet Poincare and Dulac
Authors:Ciprian Foias  Luan Hoang and Jean-Claude Saut
Abstract:This paper surveys various precise (long-time) asymptotic results for the solutions of the Navier-Stokes equations with potential forces in bounded domains. It turns out that the asymptotic expansion leads surprisingly to a kind of Poincare-Dulac normal form of the Navier-Stokes equations. We will also discuss some related results and a few open issues.
Keywords:Navier-Stokes  asymptotic expansion  Poincare-Dulac  normal form  normalization map  
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