PROBABILISTIC METHODS IN FLUIDS

PROBABILISTIC METHODS IN FLUIDS
Proceedings of the Swansea 2002 Workshop

Wales, UK, 14 - 19 April 2002

CONTENTS

FRONT MATTER	vii
Probabilistic Approach to Hydrodynamic Equations Sergio Albeverio and Yana Belopolskaya	1
A Mean Field Result for 3D Vortex Filaments Hakima Bessaih and Franco Flandoli	22
Remarks on Meixner-type Processes Björn Böttcher and Niels Jacob	35
Some Remarks on Itô and Stratonovich Integration in 2-smooth Banach Spaces Zdzisław Brzeźniak	48
The Long-time Behaviour of Stochastic 2D-Navier–Stokes Equations Tomas Caraballo	70
Semilinear Stochastic Wave Equations Pao-Liu Chow	84
Stochastic Navier–Stokes Equations: Loeb Space Techniques & Attractors Nigel J. Cutland	97
The 2D-Navier–Stokes Equations Perturbed by a Delta Correlated Noise Arnaud Debussche	115
Invariant Measures of Lévy–Khinchine Type for 2D Fluids Sergio Albeverio and Benedetta Ferrario	130
Some Remarks on a Statistical Theory of Turbulent Flows Franco Frandoli	144
Some Properties of Burgers Turbulence with White Noise Initial Conditions Christophe Giraud	161
Deterministic Viscous Hydrodynamics via Stochastic Processes on Groups of Difffeomorphisms Yuri E. Gliklikh	179
Further Classes of Pseudo-differential Operators Applicable to Modelling in Finance and Turbulence Niels Jacob and Aubrey Truman	191
Mathematical Analysis of a Stochastic Differential Equation Arising in the Micro-Macro Modelling of Polymeric Fluids Benjamin Jourdain and Tony Lelièvre	205
On the Dispersion of Sets under the Action of an Isotropic Brownian Flow Hannelore Lisei and Michael Scheutzow	224
Stochastic Burgers Equation in d-dimensions — A One-dimensional Analysis: Hot and cool Caustics and Intermittence of Stochastic Turbulence Aubrey Truman, Chris N. Reynolds and David Wiliams	239
A Version of the Law of Large Numbers and Applications Armen Shirikyan	263
Comprehensive Models for Wells Marián Slodička	272
Stochastic Cascades Applied to the Navier–Stokes Equations Enrique Thomann and Mina Ossiander	287
Stochastic Burgers Equation with Lévy Space-Time White Noise Aubrey Truman and Jiang-Lun Wu	298
A Comparison Theorem for Solutions of Backward Stochastic Differential Equations with Two Reflecting Barriers and Its Applications Tusheng Zhang	324
Burgers Equation and the WKB-Langer Asymptotic L² Approximation of Eigenfunctions and Their Derivatives Aubrey Truman and Huaizhong Zhao	332
Back