Time dependent periodic Navier-Stokes flows on a two-dimensional torus
Chen, Zhi-MIn and Price, W.G. (1996) Time dependent periodic Navier-Stokes flows on a two-dimensional torus. Communications in Mathematical Physics, 179, (3), 577-597. (doi:10.1007/BF02100098).
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Description/Abstract
The dynamical behaviour of an incompressible viscous fluid flow on a two-dimensional torus externally excited by a spatially periodic force is investigated. The flow field, described by Navier-Stokes equations, is found to possess a sequence of time-periodic solutions which bifurcate from a single steady state solution (i.e. Hopf bifurcations). This result is based on a combination of analysis and computations, and each provides corroborative evidence to the findings of the other
| Item Type: | Article |
|---|---|
| ISSNs: | 0010-3616 (print) 1432-0916 (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: | 204447 |
| Date Deposited: | 30 Nov 2011 11:57 |
| Last Modified: | 30 Nov 2011 11:57 |
| Contributors: | Chen, Zhi-MIn (Author) Price, W.G. (Author) |
| Date: | September 1996 |
| Status: | Published |
| URI: | http://eprints.soton.ac.uk/id/eprint/204447 |
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