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Time dependent periodic Navier-Stokes flows on a two-dimensional torus

Time dependent periodic Navier-Stokes flows on a two-dimensional torus
Time dependent periodic Navier-Stokes flows on a two-dimensional torus
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
0010-3616
577-597
Chen, Zhi-MIn
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f
Price, W.G.
b7888f47-e3fc-46f4-9fb9-7839052ff17c
Chen, Zhi-MIn
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f
Price, W.G.
b7888f47-e3fc-46f4-9fb9-7839052ff17c

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).

Record type: Article

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

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More information

Published date: September 1996
Organisations: Fluid Structure Interactions Group

Identifiers

Local EPrints ID: 204447
URI: https://eprints.soton.ac.uk/id/eprint/204447
ISSN: 0010-3616
PURE UUID: a756c672-169f-4510-8bbf-93442765fad5

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Date deposited: 30 Nov 2011 11:57
Last modified: 16 Jul 2019 23:17

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