Gibbsian Dynamics and Ergodicity¶for the Stochastically Forced Navier–Stokes Equation

Ergodicity of the 2-D Navier-Stokes equation under random perturbations

Franco Flandoli, Bohdan Maslowski · Communications in Mathematical Physics · 1995 · 306 citations

Natural Sciences, Mathematics, Fluid Dynamics +13

Dissipativity and invariant measures for stochastic Navier-Stokes equations

Franco Flandoli · Nonlinear Differential Equations and Applications NoDEA · 1994 · 212 citations

Engineering, Mathematics, Physics +14

On stationary solutions of a stochastic differential equation

Kiyosi Itô, Makiko Nisio · Kyoto journal of mathematics · 1964 · 205 citations · Full text

Engineering, Mathematics, Differential Equations +15

Stochastic Dissipative PDE's and Gibbs Measures

Sergei Kuksin, Armen Shirikyan · Communications in Mathematical Physics · 2000 · 147 citations

Natural Sciences, Mathematics, Physics +14

Ergodicity for the Navier‐Stokes equation with degenerate random forcing: Finite‐dimensional approximation

E Weinan, Jonathan C. Mattingly · Communications on Pure and Applied Mathematics · 2001 · 136 citations · Full text

Natural Sciences, Mathematics, Mechanical Engineering +15