Malliavin calculus for highly degenerate 2D stochastic Navier-Stokes equations

DOI10.1016/j.crma.2004.09.002zbMath1059.60074arXivmath/0409057OpenAlexW2131953417WikidataQ56894552 ScholiaQ56894552MaRDI QIDQ1763545

Jonathan C. Mattingly, Martin Hairer, Etienne Pardoux

Publication date: 22 February 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0409057

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stochastic analysis applied to problems in fluid mechanics (76M35) Navier-Stokes equations (35Q30) Stochastic calculus of variations and the Malliavin calculus (60H07) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (11)

Controllability of 2D Euler and Navier-Stokes equations by degenerate forcing ⋮ Exponential mixing for the 3D stochastic Navier-Stokes equations ⋮ A large deviation principle for 2D stochastic Navier-Stokes equation ⋮ Exponential mixing for stochastic PDEs: the non-additive case ⋮ Malliavin calculus for highly degenerate 2D stochastic Navier-Stokes equations ⋮ Ergodic properties of highly degenerate 2D stochastic Navier-Stokes equations ⋮ Exponential convergence for a periodically driven semilinear heat equation ⋮ Asymptotic properties of the 2D stochastic fractional Boussinesq equations driven by degenerate noise ⋮ Exponential ergodicity for stochastic Burgers and 2D Navier-Stokes equations ⋮ Malliavin calculus and decoupling inequalities in Banach spaces ⋮ Hypoellipticity in infinite dimensions and an application in interest rate theory

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• Ergodicity for the Navier‐Stokes equation with degenerate random forcing: Finite‐dimensional approximation
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