Navier and stokes meet poincaré and dulac

Ciprian Foias, Luan Hoang, Jean Claude Saut

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


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 Poincaré-Dulac normal form of the Navier-Stokes equations. We will also discuss some related results and a few open issues.

Original languageEnglish
Pages (from-to)727-763
Number of pages37
JournalJournal of Applied Analysis and Computation
Issue number3
StatePublished - Jun 2018


  • Asymptotic expansion
  • Navier-Stokes
  • Normal form
  • Normalization map
  • Poincaré-Dulac


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