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Unique Ergodicity for Fractionally Dissipated, Stochastically Forced 2D Euler Equations

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We establish the existence and uniqueness of an ergodic invariant measure for 2D fractionally dissipated stochastic Euler equations on the periodic box for any power of the dissipation term.

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Authors and Affiliations

  1. Department of Mathematics, Princeton University, Princeton, NJ, 08544, USA

    Peter Constantin & Vlad Vicol

  2. Institute for Mathematics and Applications, University of Minnesota, Minneapolis, MN, 55455, USA

    Nathan Glatt-Holtz

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  1. Peter Constantin
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Correspondence to Peter Constantin.

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Constantin, P., Glatt-Holtz, N. & Vicol, V. Unique Ergodicity for Fractionally Dissipated, Stochastically Forced 2D Euler Equations. Commun. Math. Phys. 330, 819–857 (2014). https://doi.org/10.1007/s00220-014-2003-3

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