Ergodicity of the 2D Navier-Stokes equations with random forcing

Bricmont, Jean;Kupiainen, Antti;Lefevere, R.
(2001) Communications in Mathematical Physics — Vol. 224, n° 1, p. 65-81 (2001)

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Authors
  • Bricmont, JeanUCLouvain
    Author
  • Kupiainen, AnttiUCLouvain
    Author
  • Lefevere, R.
    Author
Abstract
We consider the Navier-Stokes equation on a two dimensional torus with a random force, acting at discrete times and analytic in space, for arbitrarily small viscosity coefficient. We prove the existence and uniqueness of the invariant measure for this system as well as exponential mixing in time.
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Bricmont, J., Kupiainen, A., & Lefevere, R. (2001). Ergodicity of the 2D Navier-Stokes equations with random forcing. Communications in Mathematical Physics, 224(1), 65-81. https://doi.org/10.1007/s002200100510 (Original work published 2001)