Ergodicity for the randomly forced 2D Navier-Stokes equations

DOI10.1023/A:1011989910997zbMath1013.37046OpenAlexW1577854079MaRDI QIDQ5950002

Sergej B. Kuksin, Armen R. Shirikyan

Publication date: 20 May 2002

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1011989910997

zbMATH Keywords

stationary measurekick-forcerandom dynamical systemRuelle-Perron-Frobenius theorem

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15)

Related Items (30)

Dynamics of the nonlinear stochastic heat equation with singular perturbation ⋮ Local large deviations principle for occupation measures of the stochastic damped nonlinear wave equation ⋮ Existence and uniqueness of invariant measures of 3D stochastic MHD-αmodel driven by degenerate noise ⋮ Coupling for some partial differential equations driven by white noise ⋮ Exponential mixing of the 3D stochastic Navier-Stokes equations driven by mildly degenerate noises ⋮ Ergodicity Results for the Stochastic Navier–Stokes Equations: An Introduction ⋮ Exponential mixing for the 3D stochastic Navier-Stokes equations ⋮ Existence of invariant measures for the stochastic damped Schrödinger equation ⋮ Bounds on Kolmogorov spectra for the Navier-Stokes equations ⋮ Coupling approach to white-forced nonlinear PDEs ⋮ Large deviations and mixing for dissipative PDEs with unbounded random kicks ⋮ Lie extensions of nonlinear control systems ⋮ Kinetic theory of jet dynamics in the stochastic barotropic and 2D Navier-Stokes equations ⋮ 2D stochastic Navier-Stokes equations with a time-periodic forcing term ⋮ A brief and personal history of stochastic partial differential equations ⋮ The Kolmogorov equation for a 2D-Navier-Stokes stochastic flow in a channel ⋮ Exponential mixing for stochastic PDEs: the non-additive case ⋮ Low regularity solutions to a gently stochastic nonlinear wave equation in nonequilibrium statistical mechanics ⋮ DENSITY DEPENDENT STOCHASTIC NAVIER–STOKES EQUATIONS WITH NON-LIPSCHITZ RANDOM FORCING ⋮ Global approximate controllability for Schrödinger equation in higher Sobolev norms and applications ⋮ On ergodicity of some Markov processes ⋮ ERGODIC THEOREMS FOR 2D STATISTICAL HYDRODYNAMICS ⋮ Irreducibility and exponential mixing of some stochastic hydrodynamical systems driven by pure jump noise ⋮ Spectral gaps in Wasserstein distances and the 2D stochastic Navier-Stokes equations ⋮ The internal stabilization by noise of the linearized Navier-Stokes equation ⋮ On the stochastic \(p\)-Laplace equation ⋮ Stationary state solutions for a gently stochastic nonlinear wave equation with ultraviolet cutoffs ⋮ Persistent energy flow for a stochastic wave equation model in nonequilibrium statistical mechanics ⋮ Two-dimensional Navier-Stokes equations driven by a space-time white noise ⋮ Stochastic steady-state Navier-Stokes equations with additive random noise

This page was built for publication: Ergodicity for the randomly forced 2D Navier-Stokes equations