Large deviations principle for the invariant measures of the 2D stochastic Navier-Stokes equations on a torus

DOI10.1016/j.jfa.2017.05.008zbMath1401.60043arXiv1509.00077OpenAlexW2962988308MaRDI QIDQ2363156

Sandra Cerrai, Zdzisław Brzeźniak

Publication date: 13 July 2017

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.00077

zbMATH Keywords

invariant measureslarge deviation principlestochastic Navier-Stokes equationquasi-potential

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Large deviations (60F10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (11)

Well posedness, large deviations and ergodicity of the stochastic 2D Oldroyd model of order one ⋮ Large deviations for the two-time-scale stochastic convective Brinkman-Forchheimer equations ⋮ Invariant measures for stochastic 3D Lagrangian-averaged Navier-Stokes equations with infinite delay ⋮ Evolution systems of probability measures for nonautonomous Klein-Gordon Itô equations on \(\mathbb{Z}^N\) ⋮ Averaging principle for multiscale nonautonomous random 2D Navier-Stokes system ⋮ Well-posedness and large deviations for 2D stochastic Navier-Stokes equations with jumps ⋮ Asymptotic behavior of stochastic discrete wave equations with nonlinear noise and damping ⋮ Large deviations for invariant measures of the white-forced 2D Navier-Stokes equation ⋮ Long-time dynamics of stochastic lattice plate equations with nonlinear noise and damping ⋮ Averaging principles for stochastic 2D Navier-Stokes equations ⋮ Large deviations principle for the invariant measures of the 2D stochastic Navier-Stokes equations with vanishing noise correlation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Langevin dynamics, large deviations and instantons for the quasi-geostrophic model and two-dimensional Euler equations
• Quasipotential and exit time for 2D stochastic Navier-Stokes equations driven by space time white noise
• Large deviations for the invariant measure of a reaction-diffusion equation with non-Gaussian perturbations
• Dissipativity and invariant measures for stochastic Navier-Stokes equations
• Infinite-dimensional dynamical systems in mechanics and physics.
• Stochastic Navier-Stokes equations: Analysis of the noise to have a unique invariant measure
• Large deviations for invariant measures of stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction term
• Stochastic nonlinear beam equations
• Noise-induced transition in barotropic flow over topography and application to Kuroshio
• Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing
• Exponential ergodicity for stochastic Burgers and 2D Navier-Stokes equations
• UNIQUENESS OF MILD SOLUTIONS OF THE NAVIER-STOKES SYSTEM IN LN
• Asymptotic compactness and absorbing sets for 2D stochastic Navier-Stokes equations on some unbounded domains
• Stochastic partial differential equations and filtering of diffusion processes
• Stochastic convolution in separable Banach spaces and the stochastic linear Cauchy problem
• Ergodicity for Infinite Dimensional Systems
• Stochastic Equations in Infinite Dimensions
• Large Deviations for Stationary Measures of Stochastic Nonlinear Wave Equations\\with Smooth White Noise

This page was built for publication: Large deviations principle for the invariant measures of the 2D stochastic Navier-Stokes equations on a torus