On a probabilistic description of small scale structures in 3D fluids

DOI10.1016/S0246-0203(01)01092-5zbMath1017.76074MaRDI QIDQ1599993

Franco Flandoli

Publication date: 6 June 2002

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPB_2002__38_2_207_0

zbMATH Keywords

total energyvortex structureintersection local timeinteraction energythree-dimensional Brownian motionsmall scale structures

Mathematics Subject Classification ID

Statistical turbulence modeling (76F55) Stochastic analysis applied to problems in fluid mechanics (76M35) Other physical applications of random processes (60K40)

Related Items

The point vortex model for the Euler equation ⋮ On the regularity of stochastic currents, fractional Brownian motion and applications to a turbulence model ⋮ Mean field limit of interacting filaments and vector valued non-linear PDEs ⋮ On the global evolution of vortex filaments, blobs, and small loops in 3D ideal flows ⋮ Probabilistic models for vortex filaments based on fractional Brownian motion. ⋮ Mean field limit of interacting filaments for 3D Euler equations ⋮ Gibbs measures on Brownian currents ⋮ Stochastic calculus with respect to fractional Brownian motion ⋮ LIMIT BEHAVIOUR OF A DENSE COLLECTION OF VORTEX FILAMENTS ⋮ Stochastic currents ⋮ The evolution of a random vortex filament ⋮ Probabilistic Models of Vortex Filaments