Communications in Mathematical Physics

, Volume 64, Issue 2, pp 159–170

A five-dimensional truncation of the plane incompressible Navier-Stokes equations

  • Carlo Boldrighini
  • Valter Franceschini

DOI: 10.1007/BF01197511

Cite this article as:
Boldrighini, C. & Franceschini, V. Commun.Math. Phys. (1979) 64: 159. doi:10.1007/BF01197511


A five-modes truncation of the Navier-Stokes equations for a two dimensional incompressible fluid on a torus is considered. A computer analysis shows that for a certain range of the Reynolds number the system exhibits a stochastic behaviour, approached through an involved sequence of bifurcations.

Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • Carlo Boldrighini
    • 1
  • Valter Franceschini
    • 2
  1. 1.Istituto MatematicoUniversità di CamerinoCamerinoItaly
  2. 2.Istituto MatematicoUniversità di ModenaModenaItaly

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