INVARIANT MANIFOLDS FOR STOCHASTIC MODELS IN FLUID DYNAMICS

DOI10.1142/S0219493711003383zbMath1247.60094MaRDI QIDQ3173999

Salah-Eldin A. Mohammed

Publication date: 11 October 2011

Published in: Stochastics and Dynamics (Search for Journal in Brave)

zbMATH Keywords

invariant manifoldsstationary pointcocyclestable manifoldstochastic Burgers equationstochastic Navier-Stokes equation

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Navier-Stokes equations (35Q30) Large deviations (60F10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

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Cites Work

• Large deviations for the two-dimensional Navier-Stokes equations with multiplicative noise
• A large deviation principle for 2D stochastic Navier-Stokes equation
• Dynamics of stochastic 2D Navier-Stokes equations
• Characteristic exponents and invariant manifolds in Hilbert space
• Stochastic Burgers' equations and their semi-classical expansions
• The smoothness of laws of random flags and Oseledets spaces of linear stochastic differential equations
• The stochastic Burgers equation
• Normal forms for stochastic differential equations
• On the large time asymptotics of decaying Burgers turbulence
• Smooth stable and unstable manifolds for stochastic evolutionary equations
• Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing
• Asymptotic compactness and absorbing sets for 2D stochastic Navier-Stokes equations on some unbounded domains
• Stochastic differential equations in fluid dynamics
• Stochastic Navier-stokes equations with multiplicative noise
• Ergodicity for Infinite Dimensional Systems

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