Ergodicity of the finite-dimensional approximation of the 3D Navier-Stokes equations forced by a degenerate noise

From MaRDI portal
Publication:1777747

DOI10.1023/B:JOSS.0000003108.92097.5czbMath1060.76027arXivmath/0210082OpenAlexW2147311417MaRDI QIDQ1777747

Marco Romito

Publication date: 25 May 2005

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0210082




Related Items (31)

Almost-sure exponential mixing of passive scalars by the stochastic Navier-Stokes equationsErgodicity of Galerkin approximations of surface quasi-geostrophic equations and Hall-magnetohydrodynamics system forced by degenerate noiseLagrangian chaos and scalar advection in stochastic fluid mechanicsDynamics of geodesic flows with random forcing on Lie groups with left-invariant metricsA functional law of the iterated logarithm for weakly hypoelliptic diffusions at time zeroHölder regularity of the densities for the Navier-Stokes equations with noiseErgodicity of truncated stochastic Navier Stokes with deterministic forcing and dispersionControllability of 2D Euler and Navier-Stokes equations by degenerate forcingErgodicity Results for the Stochastic Navier–Stokes Equations: An IntroductionSome rigorous results on a stochastic GOY modelErgodicity of a Galerkin approximation of three-dimensional magnetohydrodynamics system forced by a degenerate noiseSmoothness of Malliavin derivatives and dissipativity of solutions to two-dimensional micropolar fluid systemA sufficient condition for the Kolmogorov 4/5 law for stationary martingale solutions to the 3D Navier-Stokes equationsAsymptotic Analysis for Randomly Forced MHDThe method of stochastic characteristics for linear second-order hypoelliptic equationsApproximate controllability for Navier-Stokes equations in 3D rectangles under Lions boundary conditionsSolid Controllability in Fluid DynamicsCritical strong Feller regularity for Markov solutions to the Navier-Stokes equationsLie extensions of nonlinear control systemsExistence of densities for the 3D Navier-Stokes equations driven by Gaussian noiseUniqueness and blow-up for a stochastic viscous dyadic modelIrreducibility of the three, and two and a half dimensional Hall-magnetohydrodynamics systemErgodic and mixing properties of the Boussinesq equations with a degenerate random forcingScaling and saturation in infinite-dimensional control problems with applications to stochastic partial differential equationsA 3D vortex formed by trajectories of the Navier–Stokes equationErgodicity of the 3D stochastic Navier-Stokes equations driven by mildly degenerate noiseMalliavin calculus for infinite-dimensional systems with additive noiseSpectral gaps in Wasserstein distances and the 2D stochastic Navier-Stokes equationsApproximate controllability for Navier-Stokes equations in \(\mathrm{3D}\) cylinders under Lions boundary conditions by an explicit saturating setMarkov selections for the magnetohydrodynamics and the Hall-magnetohydrodynamics systemsRuelle-Pollicott resonances of stochastic systems in reduced state space. Part I: Theory




This page was built for publication: Ergodicity of the finite-dimensional approximation of the 3D Navier-Stokes equations forced by a degenerate noise