Probabilistic Methods in Fluids: Proceedings of the Swansea 2002 Workshop Wales, Uk 14 - 19 April 2002,9789812382269

Probabilistic Methods in Fluids: Proceedings of the Swansea 2002 Workshop Wales, Uk 14 - 19 April 2002

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ISBN13: 9789812382269
ISBN10: 9812382267
Format: Hardcover
Pub. Date: 2003-08-01
Publisher(s): World Scientific Pub Co Inc
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Summary

This volume contains recent research papers presented at the international workshop on "Probabilistic Methods in Fluids" held in Swansea. The central problems considered were turbulence and the NavierStokes equations but, as is now well known, these classical problems are deeply intertwined with modern studies of stochastic partial differential equations, jump processes and random dynamical systems. The volume provides a snapshot of current studies in a field where the applications range from the design of aircraft through the mathematics of finance to the study of fluids in porous media.

Table of Contents

Preface vii
IRIMA ix
Participants xi
Sergio Albeverio and Yana Belopolskaya 1(21)
Probabilistic Approach to Hydrodynamic Equations
Hakima Bessaih and Franco Flandoli 22(13)
A Mean Field Result for 3D Vortex Filaments
Björn Böttcher and Niels Jacob 35(13)
Remarks on Meixner-type Processes
Zdzislaw Brzezniak 48(22)
Some Remarks on Ito and Stratonovich Integration in 2-smooth Banach Spaces
Thomas Caraballo 70(14)
The Long-time Behaviour of Stochastic 2D-Navier-Stokes Equations
Pao-Liu Chow 84(13)
Semilinear Stochastic Wave Equations
Nigel J. Cutland 97(18)
Stochastic Navier-Stokes Equations: Loeb Space Techniques & Attractors
Arnaud Debussche 115(15)
The 2D-Navier-Stokes Equations Perturbed by a Delta Correlated Noise
Sergio Albeverio and Benedetta Ferrarlo 130(14)
Invariant Measures of Lévy-Khinchine Type for 2D Fluids
Franco Flandoli 144(17)
Some Remarks on a Statistical Theory of Turbulent Flows
Christophe Giraud 161(18)
Some Properties of Burgers Turbulence with White Noise Initial Conditions
Yuri E. Gliklikh 179(12)
Deterministic Viscous Hydrodynamics via Stochastic Processes on Groups of Diffeomorphisms
Niels Jacob and Aubrey Truman 191(14)
Further Classes of Pseudo-differential Operators Applicable to Modelling in Finance and Turbulence
Benjamin Jourdain and Tony Lelièvre 205(19)
Mathematical Analysis of a Stochastic Differential Equation Arising in the Micro-Macro Modelling of Polymeric Fluids
Hannelore Lisei and Michael Scheutzow 224(15)
On the Dispersion of Sets under the Action of an Isotropic Brownian Flow
Aubrey Truman, Chris N. Reynolds and David Williams 239(24)
Stochastic Burgers Equation in d-dimensions - A One-dimensional Analysis: Hot and Cool Caustics and Intermittence of Stochastic Turbulence
Armen Shirikyan 263(9)
A Version of the Law of Large Numbers and Applications
Manan Slodicka 272(15)
Comprehensive Models for Wells
Enrique Thomann and Mina Ossiander 287(11)
Stochastic Cascades Applied to the Navier-Stokes Equations
Aubrey Truman and Jiang-Lun Wu 298(26)
Stochastic Burgers Equation with Lévy Space-Time White Noise
Tuskeng Zhang 324(8)
A Comparison Theorem for Solutions of Backward Stochastic Differential Equations with Two Reflecting Barriers and Its Applications
Aubrey Truman and Huaizhong Zhao 332
Burgers Equation and the WKB-Langer Asymptotic L2 Approximation of Eigenfunctions and Their Derivatives

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