Bricmont J., Kupiainen A., Lefevere R. — Probabilistic Estimates for the Two-Dimensional Stochastic Navier-Stokes Equations
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Название: Probabilistic Estimates for the Two-Dimensional Stochastic Navier-Stokes Equations
Авторы: Bricmont J., Kupiainen A., Lefevere R.
Аннотация:
We consider the NavierStokes 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->oo.
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