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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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
Digital Object Identifier (DOI): doi:10.1007/BF02100098
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
ePrint ID: 204447
Accepted Date and Publication Date:
September 1996Published
Date Deposited: 30 Nov 2011 11:57
Last Modified: 31 Mar 2016 13:47
URI: http://eprints.soton.ac.uk/id/eprint/204447

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