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

Abstract

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.

References in corpus (4)

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• Random changes of flow topology in two dimensional and geophysical turbulence
• Existence and Regularity of Invariant Measures for the Three Dimensional Stochastic Primitive Equations

Cited by in corpus (6)

• Long time dynamics of forced critical SQG
• Existence and Regularity of Invariant Measures for the Three Dimensional Stochastic Primitive Equations
• On Unique Ergodicity in Nonlinear Stochastic Partial Differential Equations
• Invariant measures for stochastic damped 2D Euler equations
• Couplings via comparison principle and exponential ergodicity of SPDEs in the hypoelliptic setting
• Approximating three-dimensional magnetohydrodynamics system forced by space-time white noise