Chen, Zhi-MIn and Price, W.G.
Time dependent periodic Navier-Stokes flows on a two-dimensional torus
Communications in Mathematical Physics, 179, (3), . (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
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