Asymptotic log-Harnack inequality and applications for stochastic 2D hydrodynamical-type systems with degenerate noise

DOI10.1007/s00028-020-00587-wzbMath1462.60086OpenAlexW3034049714MaRDI QIDQ2021711

Shihu Li, Wei Liu, Hong, Wei

Publication date: 27 April 2021

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-020-00587-w

zbMATH Keywords

ergodicitydegenerate noiseasymptotic log-Harnack inequalityasymptotically strong Fellerhydrodynamical systems

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Ergodicity, mixing, rates of mixing (37A25) Navier-Stokes equations (35Q30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (4)

Stochastic integral evolution equations with locally monotone and non-Lipschitz coefficients ⋮ Well-posedness and exponential mixing for stochastic magneto-hydrodynamic equations with fractional dissipations ⋮ Asymptotic log-Harnack inequality for stochastic fractional MHD equations with degenerate noise ⋮ Freidlin--Wentzell Type Large Deviation Principle for Multiscale Locally Monotone SPDEs

Cites Work

• Unnamed Item
• A modified log-Harnack inequality and asymptotically strong Feller property
• Harnack inequality and applications for stochastic evolution equations with monotone drifts
• Ergodic and mixing properties of the Boussinesq equations with a degenerate random forcing
• Stochastic partial differential equations: an introduction
• On unique ergodicity in nonlinear stochastic partial differential equations
• SPDE in Hilbert space with locally monotone coefficients
• A theory of hypoellipticity and unique ergodicity for semilinear stochastic PDEs
• Harnack inequalities on manifolds with boundary and applications
• Irreducibility and exponential mixing of some stochastic hydrodynamical systems driven by pure jump noise
• The regularized 3D Boussinesq equations with fractional Laplacian and no diffusion
• Gradient estimates and Harnack inequalities on non-compact Riemannian manifolds
• Stochastic tamed 3D Navier-Stokes equations: existence, uniqueness and ergodicity
• Strong solutions to stochastic hydrodynamical systems with multiplicative noise of jump type
• Logarithmic Sobolev inequalities on noncompact Riemannian manifolds
• Generalized couplings and convergence of transition probabilities
• Stochastic 2D hydrodynamical type systems: well posedness and large deviations
• Asymptotic log-Harnack inequality and applications for stochastic systems of infinite memory
• Generalized couplings and ergodic rates for SPDEs and other Markov models
• Random attractors for locally monotone stochastic partial differential equations
• Harnack inequality and applications for stochastic generalized porous media equations
• Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing
• Existence and ergodicity for the two-dimensional stochastic magneto-hydrodynamics equations
• Harnack inequality and strong Feller property for stochastic fast-diffusion equations
• Unique ergodicity for fractionally dissipated, stochastically forced 2D Euler equations
• Log-Harnack inequality for mild solutions of SPDEs with multiplicative noise
• Ergodicity in randomly forced Rayleigh–Bénard convection
• The exponential behaviour and stabilizability of stochastic 2D hydrodynamical type systems
• Solution “in the large” of the nonstationary boundary value problem for the Navier-Stokes system with two space variables
• Stochastic Equations in Infinite Dimensions
• Asymptotics of stochastic 2D hydrodynamical type systems in unbounded domains
• Asymptotic Analysis for Randomly Forced MHD
• Ergodicity for the Navier‐Stokes equation with degenerate random forcing: Finite‐dimensional approximation
• Harnack Inequalities for Stochastic Partial Differential Equations
• Stochastic Two-Dimensional Hydrodynamical Systems: Wong-Zakai Approximation and Support Theorem
• Ergodicity of 3D Leray-α model with fractional dissipation and degenerate stochastic forcing
• Gibbsian dynamics and ergodicity for the stochastically forced Navier-Stokes equation

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