Navier and stokes meet poincaré and dulac

Ciprian Foias; Luan Hoang; Jean Claude Saut

doi:10.11948/2018.727

Navier and stokes meet poincaré and dulac

Ciprian Foias, Luan Hoang, Jean Claude Saut

Mathematics and Statistics

Research output: Contribution to journal › Article

5 Scopus citations

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

Original language	English
Pages (from-to)	727-763
Number of pages	37
Journal	Journal of Applied Analysis and Computation
Volume	8
Issue number	3
DOIs	https://doi.org/10.11948/2018.727
State	Published - Jun 2018

Keywords

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

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10.11948/2018.727

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Foias, C., Hoang, L., & Saut, J. C. (2018). Navier and stokes meet poincaré and dulac. Journal of Applied Analysis and Computation, 8(3), 727-763. https://doi.org/10.11948/2018.727

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