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
577-597
Chen, Zhi-MIn
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f
Price, W.G.
b7888f47-e3fc-46f4-9fb9-7839052ff17c
September 1996
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), .
(doi:10.1007/BF02100098).
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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Published date: September 1996
Organisations:
Fluid Structure Interactions Group
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Local EPrints ID: 204447
URI: http://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: 14 Mar 2024 04:31
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Author:
Zhi-MIn Chen
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