Probabilistic estimates for the two-dimensional stochastic Navier-Stokes equations

Bricmont, Jean;Kupiainen, Antti;Lefevere, R.
(2000) Journal of Statistical Physics — Vol. 100, n° 3-4, p. 743-756 (2000)

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  • Bricmont, JeanUCLouvain
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  • Kupiainen, AnttiUCLouvain
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  • Lefevere, R.
    Author
Abstract
We consider the Navier-Stokes equation on a two-dimensional torus with a random force, white noise in time, and analytic in space, for arbitrary Reynolds number R. We prove probabilistic estimates For the long-time behavior of the solutions that imply bounds For the dissipation scale and energy spectrum as R --> infinity.
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Bricmont, J., Kupiainen, A., & Lefevere, R. (2000). Probabilistic estimates for the two-dimensional stochastic Navier-Stokes equations. Journal of Statistical Physics, 100(3-4), 743-756. https://doi.org/10.1023/A:1018627609718 (Original work published 2000)