Exponential mixing properties of the stochastic tamed 3D Navier-Stokes equation with degenerate noise

DOI10.1007/S00033-020-01343-3zbMath1451.60074OpenAlexW3041182226WikidataQ115609385 ScholiaQ115609385MaRDI QIDQ2194002

Yan Zheng, Jian Hua Huang

Publication date: 25 August 2020

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-020-01343-3

zbMATH Keywords

ergodicityNavier-Stokes equationdegenerate noiseexponential mixing

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Navier-Stokes equations (35Q30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (1)

Large deviations and averaging for stochastic tamed 3D Navier-Stokes equations with fast oscillations

Cites Work

• Ergodic and mixing properties of the Boussinesq equations with a degenerate random forcing
• Stochastic 3D tamed Navier-Stokes equations: existence, uniqueness and small time large deviation principles
• Asymptotic coupling and a general form of Harris' theorem with applications to stochastic delay equations
• Stochastic tamed 3D Navier-Stokes equations: existence, uniqueness and ergodicity
• Ergodicity for the 3D stochastic Navier-Stokes equations
• Exponential convergence for the stochastically forced Navier-Stokes equations and other partially dissipative dynamics
• Exponential mixing properties of stochastic PDEs through asymptotic coupling
• Martingale and stationary solutions for stochastic Navier-Stokes equations
• Asymptotic log-Harnack inequality and applications for stochastic systems of infinite memory
• Exponential mixing for stochastic 3D fractional Leray-\(\alpha\) model with degenerate multiplicative noise
• Exponential mixing for stochastic PDEs: the non-additive case
• Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing
• Markov selections for the 3D stochastic Navier-Stokes equations
• Global \(L_2\)-solutions of stochastic Navier-Stokes equations
• Markov solutions for the 3D stochastic Navier-Stokes equations with state dependent noise
• Unique ergodicity for fractionally dissipated, stochastically forced 2D Euler equations
• Spectral gaps in Wasserstein distances and the 2D stochastic Navier-Stokes equations
• Ergodicity of 3D Leray-α model with fractional dissipation and degenerate stochastic forcing

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