Exponential mixing of the 2D stochastic Navier-Stokes dynamics
(2002) Communications in Mathematical Physics — Vol. 230, n° 1, p. 87-132 (2002)
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- Abstract
- We consider the Navier-Stokes equation on a two dimensional torus with a random force which is white noise in time, and excites only a finite number of modes. The number of excited modes depends on the viscosity v, and grows like v(-3) when v goes to zero. We prove that this Markov process has a unique invariant measure and is exponentially mixing in time.
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Bricmont, J., Kupiainen, A., & Lefevere, R. (2002). Exponential mixing of the 2D stochastic Navier-Stokes dynamics. Communications in Mathematical Physics, 230(1), 87-132. https://doi.org/10.1007/s00220-002-0708-1 (Original work published 2002)