Ergodicity of Two Dimensional Turbulence

Abstract

We review the work of Hairer and Mattingly on ergodicity of two dimensional Navier-Stokes dynamics and discuss some open mathematical problems in the theory of 2d turbulence.

Bourbaki lecture

References in corpus (5)

• Global L_2-solutions of stochastic Navier-Stokes equations
• Spectral gaps in Wasserstein distances and the 2D stochastic Navier--Stokes equations
• Energy and enstrophy fluxes in the double cascade of 2d turbulence
• Inverse turbulent cascades and conformally invariant curves
• A Theory of Hypoellipticity and Unique Ergodicity for Semilinear Stochastic PDEs

Cited by in corpus (5)

• Existence and Regularity of Invariant Measures for the Three Dimensional Stochastic Primitive Equations
• A non-perturbative renormalization group study of the stochastic Navier--Stokes equation
• Some recent progress in singular stochastic PDEs
• Notes on Statistically Invariant States in Stochastically Driven Fluid Flows
• Quantitative spectral gaps and uniform lower bounds in the small noise limit for Markov semigroups generated by hypoelliptic stochastic differential equations