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Truncated Navier-stokes equations: continuous transition from a five-mode to a seven-mode model

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Abstract

A two-parameter family of nonlinear differential equations x=F(x, R, ɛ) is studied, which allows one to connect continuously, as ɛ varies from zero to one, the different phenomenologies exhibited by a model of 5-mode truncated Navier-Stokes equations and by a 7-mode one extending it. A critical value is found forɛ, at which the most significant phenomena of the 5-mode system either vanish or go to infinity. New phenomena arise then, leading to the 7-mode model.

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Authors and Affiliations

  1. Istituto Matematico “G. Castelnuovo”, Università di Roma, 10085, Rome, Italy

    Laura Tedeschini-Lalli

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  1. Laura Tedeschini-Lalli
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Supported by G.N.F.M., C.N.R.

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Tedeschini-Lalli, L. Truncated Navier-stokes equations: continuous transition from a five-mode to a seven-mode model. J Stat Phys 27, 365–388 (1982). https://doi.org/10.1007/BF01008944

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  • DOI: https://doi.org/10.1007/BF01008944

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