Stochastic differential equations in fluid dynamics

DOI10.1007/BF02925357zbMath0920.60048MaRDI QIDQ3840712

Franco Flandoli

Publication date: 24 August 1999

Published in: Rendiconti del Seminario Matematico e Fisico di Milano (Search for Journal in Brave)

zbMATH Keywords

Navier-Stokes equationswell-posednessergodicityinvariant measureStokes equations

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (10)

INVARIANT MANIFOLDS FOR STOCHASTIC MODELS IN FLUID DYNAMICS ⋮ Convergence and Approximation of Invariant Measures for Neural Field Lattice Models under Noise Perturbation ⋮ Dynamics of stochastic 2D Navier-Stokes equations ⋮ Partial regularity for the stochastic Navier-Stokes equations ⋮ Stochastic attractors for shell phenomenological models of turbulence ⋮ Analysis of fully discrete mixed finite element methods for time-dependent stochastic Stokes equations with multiplicative noise ⋮ On the well-posedness of stochastic Boussinesq equations with transport noise ⋮ Kolmogorov equation associated to a stochastic Navier-Stokes equation ⋮ Stochastic Navier-Stokes equations: Analysis of the noise to have a unique invariant measure ⋮ Modelling the climate and weather of a 2D Lagrangian-averaged Euler-Boussinesq equation with transport noise

Cites Work

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• Ergodicity of the 2-D Navier-Stokes equation under random perturbations
• Equations stochastiques du type Navier-Stokes
• Turbulent cascade and intermittency growth
• Ergodic behaviour of stochastic parabolic equations
• Asymptotic Properties of Markoff Transition Probabilities
• Stochastic Equations in Infinite Dimensions

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