Open AccessNAVIER AND STOKES MEET POINCARÉAND DULAC
Author(s) -
Ciprian Foiaş,
Luan Hoang,
JeanClaude Saut
Publication year - 2018
Publication title -
journal of applied analysis and computation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.55
H-Index - 21
eISSN - 2158-5644
pISSN - 2156-907X
DOI - 10.11948/2018.727
Subject(s) - bounded function , poincaré conjecture , mathematics , mathematical analysis , navier–stokes equations , compressibility , physics , mechanics
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 that the asymptotic expansion leads surprisingly to a Poincar\' e-Dulac normal form of the Navier-Stokes equations. We will also discuss some related results and a few open issues.
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