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Ergodicity of the 2D Navier--Stokes Equations¶with Random Forcing

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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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Authors and Affiliations

  1. UCL, Physique Théorique, 1348, Louvain-la-Neuve, Belgium

    J. Bricmont

  2. Helsinki University, Department of Mathematics, 00014, P.O.Box 4, Helsinki, Finland

    A. Kupiainen & R. Lefevere

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  1. J. Bricmont
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  2. A. Kupiainen
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  3. R. Lefevere
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Received: 18 May 2000 / Accepted: 8 December 2000

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Bricmont, J., Kupiainen, A. & Lefevere, R. Ergodicity of the 2D Navier--Stokes Equations¶with Random Forcing. Commun. Math. Phys. 224, 65–81 (2001). https://doi.org/10.1007/s002200100510

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  • DOI: https://doi.org/10.1007/s002200100510

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