Hopf bifurcation of the three-dimensional Navier-Stokes equations


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).

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Description/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.

Item Type: Article
ISSNs: 0022-247X (print)
1096-0813 (electronic)
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering and the Environment > Civil, Maritime and Environmental Engineering and Science > Fluid / Structure Interactions Research
Item ID: 204457
Date Deposited: 29 Nov 2011 17:07
Last Modified: 29 Nov 2011 17:07
Contributors: Chen, Zhi-Min (Author)
Date: September 1999
Status: Published
URI: http://eprints.soton.ac.uk/id/eprint/204457

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