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
|Digital Object Identifier (DOI):||doi:10.1007/BF02100098|
|Subjects:||Q Science > QA Mathematics|
|Divisions:||Faculty of Engineering and the Environment > Civil, Maritime and Environmental Engineering and Science > Fluid / Structure Interactions Research
|Date Deposited:||30 Nov 2011 11:57|
|Last Modified:||27 Mar 2014 19:48|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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