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Burgers-Kpz Turbulence : Gottingen Lectures - W.A. Woyczyanski

Burgers-Kpz Turbulence

Gottingen Lectures

Paperback Published: 18th November 1998
ISBN: 9783540652373
Number Of Pages: 328

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These lecture notes are woven around the subject of Burgers' turbulence/KPZ model of interface growth, a study of the nonlinear parabolic equation with random initial data. The analysis is conducted mostly in the space-time domain, with less attention paid to the frequency-domain picture. However, the bibliography contains a more complete information about other directions in the field which over the last decade enjoyed a vigorous expansion. The notes are addressed to a diverse audience, including mathematicians, statisticians, physicists, fluid dynamicists and engineers, and contain both rigorous and heuristic arguments. Because of the multidisciplinary audience, the notes also include a concise exposition of some classical topics in probability theory, such as Brownian motion, Wiener polynomial chaos, etc.

Shock Waves and Large Scale Structure (LSS) of the Universep. 1
Hydrodynamic Limits, Nonlinear Diffusions, Propagation of Chaosp. 13
Hopf-Cole Formula and Its Asymptotic Analysisp. 25
Statistical Description, Parabolic Approximationp. 43
Hyperbolic Approximation and the Inviscid Limitp. 97
Forced Burgers Turbulencep. 135
Passive Tracer Transport in Burgers' and Related Flowsp. 203
Fractal Burgers-KPZ Modelsp. 271
Bibliographyp. 299
Indexp. 317
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783540652373
ISBN-10: 354065237X
Series: Gottingen Lectures
Audience: General
Format: Paperback
Language: English
Number Of Pages: 328
Published: 18th November 1998
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 1.8
Weight (kg): 0.48