Navier and Stokes meet Poincar\' e and Dulac
Analysis of PDEs
2017-11-21 v1
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 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.
Keywords
Cite
@article{arxiv.1711.07184,
title = {Navier and Stokes meet Poincar\' e and Dulac},
author = {Ciprian Foias and Luan Hoang and Jean-Claude Saut},
journal= {arXiv preprint arXiv:1711.07184},
year = {2017}
}