Overview

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 Navier–Stokes 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.Contents: Probabilistic Approach to Hydrodynamic Equations (S Albeverio & Y Belopolskaya) A Mean Field Result for 3D Vortex Filaments (H Bessaih & F Flandoli) Semilinear Stochastic Wave Equations (P-L Chow) Some Remarks on a Statistical Theory of Turbulent Flows (F Flandoli) On the Dispersion of Sets Under the Action of an Isotropic Brownian Flow (H Lisei & M Scheutzow) A Version of the Law of Large Numbers and Applications (A Shirikyan) A Comparison Theorem for Solutions of Backward Stochastic Differential Equations with Two Reflecting Barriers and Its Applications (T-S Zhang) and other papersReadership: Research mathematicians with an interest in stochastic analysis, turbulence, fluid mechanics and stochastic partial differential equations.

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9781281905901

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