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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Communicated by Ya. G. Sinai
Research partially supported by the National Science Foundation of China.
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Chen, ZM., Price, W.G. Time dependent periodic Navier-Stokes flows on a two-dimensional torus. Commun.Math. Phys. 179, 577–597 (1996). https://doi.org/10.1007/BF02100098
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DOI: https://doi.org/10.1007/BF02100098