Stochastic 3D tamed Navier-Stokes equations: existence, uniqueness and small time large deviation principles

DOI10.1016/j.jde.2011.09.030zbMath1241.60032OpenAlexW2066404103MaRDI QIDQ649779

Michael Roeckner, Tu-Sheng Zhang

Publication date: 6 December 2011

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

Full work available at URL: https://doi.org/10.1016/j.jde.2011.09.030

zbMATH Keywords

strong solutionslarge deviationsenergy identitystochastic 3D tamed Navier-Stokes equations

Mathematics Subject Classification ID

Large deviations (60F10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (37)

Large deviation principle for occupation measures of two dimensional stochastic convective Brinkman-Forchheimer equations ⋮ Well-posedness of the multidimensional fractional stochastic Navier-Stokes equations on the torus and on bounded domains ⋮ Backward uniqueness of stochastic parabolic like equations driven by Gaussian multiplicative noise ⋮ On the convergence of a stochastic 3D globally modified two-phase flow model ⋮ Large deviation principles for a 2D stochastic Cahn–Hilliard–Navier–Stokes driven by jump noise ⋮ Well-posedness of stochastic partial differential equations with Lyapunov condition ⋮ Large deviations and averaging for stochastic tamed 3D Navier-Stokes equations with fast oscillations ⋮ The stochastic tamed MHD equations: existence, uniqueness and invariant measures ⋮ Well-posedness and asymptotic behavior of stochastic convective Brinkman-Forchheimer equations perturbed by pure jump noise ⋮ The stochastic 3D globally modified Navier-Stokes equations: existence, uniqueness and asymptotic behavior ⋮ 3D tamed Navier-Stokes equations driven by multiplicative Lévy noise: existence, uniqueness and large deviations ⋮ Approximations of stochastic 3D tamed Navier-Stokes equations ⋮ Large deviation principles for a 2D stochastic Allen–Cahn–Navier–Stokes driven by jump noise ⋮ Moderate deviation principle for the 2D stochastic convective Brinkman–Forchheimer equations ⋮ Well-posedness of backward stochastic partial differential equations with Lyapunov condition ⋮ Stochastic tamed Navier-Stokes equations on \(\mathbb{R}^3\): the existence and the uniqueness of solutions and the existence of an invariant measure ⋮ Large deviation for a 3D globally modified Cahn-Hilliard-Navier-Stokes model under random influences ⋮ Large deviations for the two-time-scale stochastic convective Brinkman-Forchheimer equations ⋮ A small time large deviation principle for stochastic differential delay equations ⋮ Exponential mixing properties of the stochastic tamed 3D Navier-Stokes equation with degenerate noise ⋮ Stochastic evolutionary \(p\)-Laplace equation: large deviation principles and transportation cost inequality ⋮ Stochastic doubly nonlinear PDE: large deviation principles and existence of invariant measure ⋮ Large deviation principle for a class of SPDE with locally monotone coefficients ⋮ On the small time asymptotics of stochastic non-Newtonian fluids ⋮ Convergence of the solution of the stochastic 3D globally modified Cahn-Hilliard-Navier-Stokes equations ⋮ On stochastic modified 3D Navier-Stokes equations with anisotropic viscosity ⋮ Well-posedness and invariant measures for a class of stochastic 3D Navier-Stokes equations with damping driven by jump noise ⋮ The tamed MHD equations ⋮ Small time asymptotics for SPDEs with locally monotone coefficients ⋮ Wentzell-Freidlin large deviation principle for stochastic convective Brinkman-Forchheimer equations ⋮ On the weak solutions to a 3D stochastic Cahn-Hilliard-Navier-Stokes model ⋮ Large deviation for a 2D Cahn-Hilliard-Navier-Stokes model under random influences ⋮ Large deviation principle for stochastic convective Brinkman-Forchheimer equations perturbed by pure jump noise ⋮ Local Dirichlet forms, Hodge theory, and the Navier-Stokes equations on topologically one-dimensional fractals ⋮ Large deviation for a 2D Allen–Cahn–Navier–Stokes model under random influences ⋮ Freidlin-Wentzell's large deviation principle for stochastic integral evolution equations ⋮ Freidlin--Wentzell Type Large Deviation Principle for Multiscale Locally Monotone SPDEs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stochastic tamed 3D Navier-Stokes equations: existence, uniqueness and ergodicity
• Large deviations for the two-dimensional Navier-Stokes equations with multiplicative noise
• A large deviation principle for 2D stochastic Navier-Stokes equation
• Large deviations for stochastic tamed 3D Navier-Stokes equations
• On the small time asymptotics of the two-dimensional stochastic Navier-Stokes equations
• Large deviations for a reaction-diffusion equation with non-Gaussian perturbations
• On the \(L^p\) norms of stochastic integrals and other martingales
• On the small time behavior of Ornstein-Uhlenbeck processes with unbounded linear drifts
• The law of the solution to a nonlinear hyperbolic SPDE
• Small-time Gaussian behavior of symmetric diffusion semigroups
• Large deviations for a Burgers'-type SPDE
• Semi-martingale inequalities via the Garsia-Rodemich-Rumsey lemma, and applications to local times
• On the small time asymptotics of diffusion processes on Hilbert spaces.
• Large deviations for stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction term.
• Martingale and stationary solutions for stochastic Navier-Stokes equations
• Stochastic 2D hydrodynamical type systems: well posedness and large deviations
• Uniform large deviations for parabolic SPDEs and applications
• A concise course on stochastic partial differential equations
• 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
• TAMED 3D NAVIER–STOKES EQUATION: EXISTENCE, UNIQUENESS AND REGULARITY
• Large deviation problem for some parabolic itǒ equations
• Diffusion processes in a small time interval
• A Simple Proof of the Existence of a Solution of Itô’s Equation with Monotone Coefficients
• Ergodicity for Infinite Dimensional Systems
• Stochastic Equations in Infinite Dimensions

This page was built for publication: Stochastic 3D tamed Navier-Stokes equations: existence, uniqueness and small time large deviation principles