A five-dimensional truncation of the plane incompressible Navier-Stokes equations Authors
Cite this article as: Boldrighini, C. & Franceschini, V. Commun.Math. Phys. (1979) 64: 159. doi:10.1007/BF01197511 Abstract
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.
Partially supported by G.N.F.M., C.N.R.
Communicated by J. L. Lebowitz
Lorenz, E.N.: J. Athmos. Sci.
20, 130 (1963)
Henon, M.: Commun. math. Phys.
50, 69 (1976)
Ruelle, D., Takens, F.: Commun. math. Phys.
20, 167 (1971)
Ruelle, D.: Lectures at the International School of Mathematical Physics, Camerino (September-October 1974)
Ladyzhenskaya, O.A.: The mathematical theory of viscous incompressible flows. New York: Gordon and Breach 1969
Ioos, G.: Arch. Rat. Mech. Anal.
64, 338 (1977)
Lanford, O.E.: Proceedings of Corso C.I.M.E. held at Bressanone (June 1976) (to be published)
Judovich, V.I.: (to be published) (in Russian)
Gallavotti, G.: Private communication