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Volume 8, Number 3, 2018, Pages 727-763                                                                DOI:10.11948/2018.727
Navier and Stokes meet Poincare and Dulac
Ciprian Foias,Luan Hoang,Jean-Claude Saut
Keywords:Navier-Stokes, asymptotic expansion, Poincare-Dulac, normal form, normalization map.
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.
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