Ergodicity of 3D Leray-α model with fractional dissipation and degenerate stochastic forcing

DOI10.1142/S0219025719500024zbMath1447.60108OpenAlexW2919662617MaRDI QIDQ5222881

Shihu Li, Yingchao Xie, Wei Liu

Publication date: 4 July 2019

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025719500024

zbMATH Keywords

Harnack inequalityergodicitydegenerate noiseLeray-\(\alpha\) modelasymptotic strong Feller

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Navier-Stokes equations (35Q30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Fractional partial differential equations (35R11)

Related Items (10)

Deviation principles of a stochastic Leray-α system with fractional dissipation ⋮ Asymptotic behavior of solutions to the three-dimensional stochastic Leray-\( \alpha\) model ⋮ Ergodicity of stochastic Cahn-Hilliard equations with logarithmic potentials driven by degenerate or nondegenerate noises ⋮ Exponential mixing properties of the stochastic tamed 3D Navier-Stokes equation with degenerate noise ⋮ Asymptotic log-Harnack inequality and ergodicity for 3D Leray-\(\alpha\) model with degenerate type noise ⋮ Asymptotic log-Harnack inequality and applications for SPDE with degenerate multiplicative noise ⋮ Asymptotic log-Harnack inequality and applications for stochastic 2D hydrodynamical-type systems with degenerate noise ⋮ Exponential mixing for stochastic 3D fractional Leray-\(\alpha\) model with degenerate multiplicative noise ⋮ Well-posedness and exponential mixing for stochastic magneto-hydrodynamic equations with fractional dissipations ⋮ Averaging principle for stochastic 3D fractional Leray-α model with a fast oscillation

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