| Description |
1 online resource (xiii, 366 pages) : illustrations |
| Contents |
Probabilistic approach to hydrodynamic equations / Sergio Albeverio and Yana Belopolskaya -- A mean field result for 3D vortex filaments / Hakima Bessaih and Franco Flandoli -- Remarks on Meixner-type processes / Björn Böttcher and Niels Jacob -- Some remarks on Itô and Stratonovich integration in 2-smooth Banach spaces / Zdzistaw Brzeźniak -- The long-time behaviour of stochastic 2D-Navier-Stokes equations / Tomas Caraballo -- Semilinear stochastic wave equations / Pao-Liu Chow -- Stochastic Navier-Stokes equations: Loeb space techniques & attractors / Nigel J. Cutland -- The 2D-Navier-Stokes equations perturbed by a delta correlated noise / Arnaud Debussche -- Invariant measures of Lévy-Khinchine type for 2D fluids / Sergio Albeverio and Benedetta Ferrario -- Some remarks on a statistical theory of turbulent flows / Franco Flandoli -- Some properties of burgers turbulence with white noise initial conditions / Christophe Giraud -- Deterministic viscous hydrodynamics via stochastic processes on groups of diffeomorphisms / Yuri E. Gliklikh -- Further classes of pseudo-differential operators applicable to modelling in finance and turbulence / Niels Jacob and Aubrey Truman -- Mathematical analysis of a stochastic differential equation arising in the micro-macro modelling of polymeric fluids / Benjamin Jourdain and Tony Lelièvre -- On the dispersion of sets under the action of an isotropic Brownian flow / Hannelore Lisei and Michael Scheutzow -- 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 Williams -- A version of the law of large numbers and applications / Armen Shirikyan -- Comprehensive models for wells / Marián Slodička -- Stochastic cascades applied to the Navier-Stokes equations / Enrique Thomann and Mina Ossiander -- Stochastic Burgers equation with Lévy space-time white noise / Aubrey Truman and Jiang-Lun Wu -- A comparison theorem for solutions of backward stochastic differential equations with two reflecting barriers and its applications / Tusheng Zhang -- Burgers equation and the WKB-Langer asymptotic L[symbol] approximation of eigenfunctions and their derivatives / Aubrey Truman and Huaizhong Zhao |
| 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 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 |
| Bibliography |
Includes bibliographical references |
| Notes |
English |
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Print version record |
| Subject |
Fluid dynamics -- Congresses
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Differential equations, Partial -- Congresses
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Probabilities -- Congresses
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SCIENCE -- Mechanics -- Fluids.
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Differential equations, Partial
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Fluid dynamics
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Probabilities
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| Genre/Form |
Conference papers and proceedings
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| Form |
Electronic book
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| Author |
Davies, I. M. (Ian Malcolm), 1957-
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University of Wales Swansea. International Research Institute in Mathematics and its Applications.
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| ISBN |
9812703985 |
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9789812703989 |
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9789812382269 |
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9812382267 |
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1281905909 |
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9781281905901 |
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9786611905903 |
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6611905901 |
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