Ergodicity for the 3D stochastic Navier-Stokes equations

From MaRDI portal
Publication:880444

DOI10.1016/S0021-7824(03)00025-4zbMath1109.60047OpenAlexW2077514318MaRDI QIDQ880444

Arnaud Debussche, Giuseppe Da Prato

Publication date: 15 May 2007

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-7824(03)00025-4



Related Items

Large deviation principle for occupation measures of two dimensional stochastic convective Brinkman-Forchheimer equations, Remarks on the non-uniqueness in law of the Navier-Stokes equations up to the J.-L. Lions' exponent, STATIONARY WEAK SOLUTIONS FOR STOCHASTIC 3D NAVIER–STOKES EQUATIONS WITH LÉVY NOISE, Stochastic tamed 3D Navier-Stokes equations: existence, uniqueness and ergodicity, On the convergence of a stochastic 3D globally modified two-phase flow model, The Kolmogorov operator associated to a Burgers SPDE in spaces of continuous functions, Moment estimates for invariant measures of stochastic Burgers equations, Non-uniqueness in law for the Boussinesq system forced by random noise, Long Time Behavior of Gross--Pitaevskii Equation at Positive Temperature, Hölder regularity of the densities for the Navier-Stokes equations with 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, \(m\)-dissipativity of Kolmogorov operators corresponding to Burgers equations with space-time white noise, Exponential mixing for the 3D stochastic Navier-Stokes equations, A large deviation principle for 2D stochastic Navier-Stokes equation, Gradient estimates and maximal dissipativity for the Kolmogorov operator in \(\Phi^4_2\), A sufficient condition for the Kolmogorov 4/5 law for stationary martingale solutions to the 3D Navier-Stokes equations, Well posedness, large deviations and ergodicity of the stochastic 2D Oldroyd model of order one, Stochastic PDEs and lack of regularity: a surface growth equation with noise: existence, uniqueness, and blow-up, Numerical ergodicity of two dimensional stochastic Navier-Stokes equations with Gaussian noise, Exponential mixing properties of the stochastic tamed 3D Navier-Stokes equation with degenerate noise, Sharp Nonuniqueness of Solutions to Stochastic Navier–Stokes Equations, Is turbulence ergodic?, Approximating 3D Navier–Stokes equations driven by space-time white noise, Global-in-time probabilistically strong and Markov solutions to stochastic 3D Navier-Stokes equations: existence and nonuniqueness, Regularization by transport noises for 3D MHD equations, Nonuniqueness in law of stochastic 3D Navier-Stokes equations, Three-dimensional stochastic Navier–Stokes equations with Markov switching, On a stochastic Leray-\(\alpha\) model of Euler equations, Critical strong Feller regularity for Markov solutions to the Navier-Stokes equations, Kolmogorov equation associated to a stochastic Kuramoto-Sivashinsky equation, Global existence and non-uniqueness for 3D Navier-Stokes equations with space-time white noise, Kinetic theory of jet dynamics in the stochastic barotropic and 2D Navier-Stokes equations, Existence of densities for the 3D Navier-Stokes equations driven by Gaussian noise, Uniqueness and blow-up for a stochastic viscous dyadic model, A simple method for the existence of a density for stochastic evolutions with rough coefficients, 2D stochastic Navier-Stokes equations with a time-periodic forcing term, The interaction between noise and transport mechanisms in PDEs, Analysis of equilibrium states of Markov solutions to the 3D Navier-Stokes equations driven by additive noise, Irreducibility of the three, and two and a half dimensional Hall-magnetohydrodynamics system, Rigorous remarks about scaling laws in turbulent fluids, Gibbsian dynamics and ergodicity of stochastic micropolar fluid system, The Kolmogorov equation for a 2D-Navier-Stokes stochastic flow in a channel, DERIVATIVE FORMULA AND APPLICATIONS FOR HYPERDISSIPATIVE STOCHASTIC NAVIER–STOKES/BURGERS EQUATIONS, SPECTRWM: Spectral Random Walk Method for the Numerical Solution of Stochastic Partial Differential Equations, Markov selection for the stochastic compressible Navier-Stokes system, Pathwise uniqueness and continuous dependence for SDEs with non-regular drift, Gradient estimates for SDEs without monotonicity type conditions, Spatially homogeneous solutions of 3D stochastic Navier-Stokes equations and local energy inequality, Uniqueness for a stochastic inviscid dyadic model, Fokker-Planck equations for SPDE with non-trace-class noise, Markov selections for the 3D stochastic Navier-Stokes equations, Large deviations for stochastic tamed 3D Navier-Stokes equations, Invariant measures for dissipative dynamical systems: abstract results and applications, On a stochastic version of Prouse model in fluid dynamics, Noise prevents infinite stretching of the passive field in a stochastic vector advection equation, Ergodicity of the 3D stochastic Navier-Stokes equations driven by mildly degenerate noise, Kolmogorov equations for randomly perturbed generalized Newtonian fluids, Existence and uniqueness of stationary solutions for 3D Navier-Stokes system with small random forcing via stochastic cascades, Kolmogorov equations in infinite dimensions: well-posedness and regularity of solutions, with applications to stochastic generalized Burgers equations, Wiener chaos expansions and numerical solutions of randomly forced equations of fluid mechanics, Stochastic non-Newtonian fluid motion equations of a nonlinear bipolar viscous fluid, Markov selections and their regularity for the three-dimensional stochastic Navier-Stokes equations, Local martingale and pathwise solutions for an abstract fluids model, Stochastic three-dimensional rotating Navier-Stokes equations: averaging, convergence and regularity, On a class of stochastic partial differential equations with multiple invariant measures, On the martingale problem associated to the 2D and 3D stochastic Navier-Stokes equations, High mode transport noise improves vorticity blow-up control in 3D Navier-Stokes equations, An integral inequality for the invariant measure of some finite dimensional stochastic differential equation, Qualitative properties of stationary measures for three-dimensional Navier-Stokes equations, Continuity of cost functional and optimal feedback controls for the stochastic Navier Stokes equation in 2D, Invariant measures for nonlinear conservation laws driven by stochastic forcing, Invariant measures and global well posedness for the SQG equation, Derivative formula for the Feynman-Kac semigroup of SDEs driven by rotationally invariant \(\alpha\)-stable process, Deterministic and stochastic equations of motion arising in Oldroyd fluids of order one: existence, uniqueness, exponential stability and invariant measures, Invariant measures for the stochastic one-dimensional compressible Navier-Stokes equations, Three-dimensional Navier-Stokes equations driven by space-time white noise, Markovianity and ergodicity for a surface growth PDE, Remarks on uniqueness and strong solutions to deterministic and stochastic differential equations, On the dynamic programming approach for the 3D Navier-Stokes equations, Stationary solutions to the compressible Navier-Stokes system driven by stochastic forces, Fokker–Planck equation for dissipative 2D Euler equations with cylindrical noise, Stochastic Navier-Stokes equations and related models, Markov selections for the magnetohydrodynamics and the Hall-magnetohydrodynamics systems, Random dynamical system generated by the 3D Navier-Stokes equation with rough transport noise, On 2D Eulerian limits à la Kuksin, Sub and supercritical stochastic quasi-geostrophic equation, On inviscid limits for the stochastic Navier-Stokes equations and related models, Stochastic steady-state Navier-Stokes equations with additive random noise, Remarks on Stochastic Navier-Stokes Equations