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Hopf bifurcation of the three-dimensional Navier-Stokes equations

Hopf bifurcation of the three-dimensional Navier-Stokes equations
Hopf bifurcation of the three-dimensional Navier-Stokes equations
This paper is concerned with the three-dimensional Navier–Stokes flows excited by a unidirectional external force and gives an explicit example of Hopf bifurcation phenomenon occurring in the Navier–Stokes problem. Complete rigorous analysis on the existence of this instability behavior is provided.
0022-247X
583-608
Chen, Zhi-Min
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f
Chen, Zhi-Min
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f

Chen, Zhi-Min (1999) Hopf bifurcation of the three-dimensional Navier-Stokes equations. Journal of Mathematical Analysis and Applications, 237 (2), 583-608. (doi:10.1006/jmaa.1999.6491).

Record type: Article

Abstract

This paper is concerned with the three-dimensional Navier–Stokes flows excited by a unidirectional external force and gives an explicit example of Hopf bifurcation phenomenon occurring in the Navier–Stokes problem. Complete rigorous analysis on the existence of this instability behavior is provided.

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More information

Published date: September 1999
Organisations: Fluid Structure Interactions Group

Identifiers

Local EPrints ID: 204457
URI: http://eprints.soton.ac.uk/id/eprint/204457
ISSN: 0022-247X
PURE UUID: 5f95ed53-32b9-4fe3-beff-96d57d9900e0

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Date deposited: 29 Nov 2011 17:07
Last modified: 16 Jul 2019 23:17

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