Burgers-KPZ turbulence : Göttingen lectures
Author(s)
Bibliographic Information
Burgers-KPZ turbulence : Göttingen lectures
（Lecture notes in mathematics, 1700）
Springer Verlag, c1998
Available at / 82 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||1700RM981220
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC21:510/W8292070460736
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Note
Includes bibliographical references (p. [299]-316) and index
Description and Table of Contents
Description
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.
Table of Contents
Shock waves and the large scale structure (LSS) of the universe.- Hydrodynamic limits, nonlinear diffusions, and propagation of chaos.- Hopf-Cole formula and its asymptotic analysis.- Statistical description, parabolic approximation.- Hyperbolic approximation and inviscid limit.- Forced Burgers turbulence.- Passive tracer transport in Burgers' and related flows.- Fractal Burgers-KPZ models.
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