Stochastic Two-Dimensional Hydrodynamical Systems: Wong-Zakai Approximation and Support Theorem

DOI10.1080/07362994.2011.581081zbMath1229.60078arXiv0907.2100OpenAlexW1629575522MaRDI QIDQ5198938

Annie Millet, Igor D. Chueshov

Publication date: 10 August 2011

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.2100

zbMATH Keywords

Benard convectionShell models of turbulence

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (15)

Time discrete approximation of weak solutions to stochastic equations of geophysical fluid dynamics and applications ⋮ On the rate of convergence of the 2-D stochastic Leray-\(\alpha \) model to the 2-D stochastic Navier-Stokes equations with multiplicative noise ⋮ Wong-Zakai approximation and support theorem for 2D and 3D stochastic convective Brinkman-Forchheimer equations ⋮ The stochastic tamed MHD equations: existence, uniqueness and invariant measures ⋮ Large deviation principle for the micropolar, magneto-micropolar fluid systems ⋮ On the Navier-Stokes equation perturbed by rough transport noise ⋮ Approximation of the stochastic 2D hydrodynamical type systems driven by non-Gaussian Lévy noise ⋮ Stochastic 2D hydrodynamical type systems: well posedness and large deviations ⋮ Asymptotic log-Harnack inequality and applications for stochastic 2D hydrodynamical-type systems with degenerate noise ⋮ Wong-zakai approximation and support theorem for SPDEs with locally monotone coefficients ⋮ Averaging principle for stochastic 3D fractional Leray-α model with a fast oscillation ⋮ Piecewise linear approximation for the dynamical \(\Phi_3^4\) model ⋮ Wong-Zakai approximations and support theorems for stochastic McKean-Vlasov equations ⋮ Random attractors for 2D stochastic hydrodynamical-type systems ⋮ The support of singular stochastic partial differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Bénard problem with random perturbations: Dissipativity and invariant measures
• Wong-Zakai approximations of stochastic evolution equations
• Large deviations for the Boussinesq equations under random influences
• Approximations of solutions of stochastic differential equations driven by semimartingales
• The support of the solution to a hyperbolic SPDE
• Stochastic equations in Hilbert space with application to Navier-Stokes equations in any dimension
• Almost sure approximation of Wong-Zakai type for stochastic partial differential equations
• Martingale and stationary solutions for stochastic Navier-Stokes equations
• Approximation and support theorem in Hölder norm for parabolic stochastic partial differential equations
• Wong-Zakai approximations for stochastic differential equations
• Stochastic 2D hydrodynamical type systems: well posedness and large deviations
• Existence and ergodicity for the two-dimensional stochastic magneto-hydrodynamics equations
• Non-random Invariant Sets for Some Systems of Parabolic Stochastic Partial Differential Equations
• On the approximation of stochastic partial differential equations i
• SOME MATHEMATICAL PROBLEMS OF STATISTICAL HYROMECHANICS
• Riemann-Stieltjes approximations of stochastic integrals
• A support theorem for a generalized Burgers SPDE

This page was built for publication: Stochastic Two-Dimensional Hydrodynamical Systems: Wong-Zakai Approximation and Support Theorem