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

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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.

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Authors and Affiliations

  1. Istituto Matematico, Università di Camerino, I-62032, Camerino, Italy

    Carlo Boldrighini

  2. Istituto Matematico, Università di Modena, I-41100, Modena, Italy

    Valter Franceschini

Authors
  1. Carlo Boldrighini
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  2. Valter Franceschini
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Additional information

Communicated by J. L. Lebowitz

Partially supported by G.N.F.M., C.N.R.

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Boldrighini, C., Franceschini, V. A five-dimensional truncation of the plane incompressible Navier-Stokes equations. Commun.Math. Phys. 64, 159–170 (1979). https://doi.org/10.1007/BF01197511

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  • DOI: https://doi.org/10.1007/BF01197511

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