DERIVATIVE FORMULA AND APPLICATIONS FOR HYPERDISSIPATIVE STOCHASTIC NAVIER–STOKES/BURGERS EQUATIONS

DOI10.1142/S0219025712500208zbMath1264.60047arXiv1009.1464OpenAlexW2074695904MaRDI QIDQ4902706

Feng-Yu Wang, Lihu Xu

Publication date: 17 January 2013

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

Full work available at URL: https://arxiv.org/abs/1009.1464

zbMATH Keywords

couplingstochastic Navier-Stokes equationstrong FellerBismut type formula

Mathematics Subject Classification ID

Related Items (16)

Shift Harnack inequality and integration by parts formula for semilinear stochastic partial differential equations ⋮ Bismut formula for a stochastic heat equation with fractional noise ⋮ Bismut type derivative formulae and gradient estimate for multiplicative SDEs with fractional noises ⋮ Harnack inequality and derivative formula for stochastic heat equation with fractional noise ⋮ On some smoothening effects of the transition semigroup of a Lévy process ⋮ Stochastic 3D Leray-\(\alpha\) model with fractional dissipation ⋮ Degenerate Fokker-Planck equations: Bismut formula, gradient estimate and Harnack inequality ⋮ Harnack inequality for semilinear SPDE with multiplicative noise ⋮ Integration by parts formula and shift Harnack inequality for stochastic equations ⋮ Derivative Formula and Harnack Inequality for SDEs Driven by Lévy Processes ⋮ Averaging principle for stochastic 3D fractional Leray-α model with a fast oscillation ⋮ Ergodicity of 3D Leray-α model with fractional dissipation and degenerate stochastic forcing ⋮ Derivative formulas and applications for degenerate stochastic differential equations with fractional noises ⋮ Large deviations for stochastic 3D Leray-\( \alpha \) model with fractional dissipation ⋮ Bismut formulas and applications for stochastic (functional) differential equations driven by fractional Brownian motions ⋮ Exponential convergence of non-linear monotone SPDEs

Cites Work

• Log-Harnack inequality for stochastic Burgers equations and applications
• Harnack inequalities and applications for Ornstein-Uhlenbeck semigroups with jump
• Gradient estimates and Harnack inequalities on non-compact Riemannian manifolds
• Ergodicity for the 3D stochastic Navier-Stokes equations
• Exponential mixing for the 3D stochastic Navier-Stokes equations
• Formulae for the derivatives of heat semigroups
• Logarithmic Sobolev inequalities on noncompact Riemannian manifolds
• Harnack inequality and applications for stochastic generalized porous media equations
• Singular stochastic equations on Hilbert spaces: Harnack inequalities for their transition semigroups
• Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing
• Markov selections for the 3D stochastic Navier-Stokes equations
• Harnack inequality and strong Feller property for stochastic fast-diffusion equations
• Harnack inequality and heat kernel estimates on manifolds with curvature unbounded below
• Markov solutions for the 3D stochastic Navier-Stokes equations with state dependent noise

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