Burgers-KPZ turbulence [electronic resource] : Göttingen lectures / Wojbor A. Woyczyński.

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. Howev...

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Bibliographic Details
Online Access: Full Text (via Springer)
Main Author: Woyczyński, W. A. (Wojbor Andrzej), 1943-
Format: Electronic eBook
Language:English
Published: Berlin ; New York : Springer, ©1998.
Series:Lecture notes in mathematics (Springer-Verlag) ; 1700.
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Summary: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.
Physical Description:1 online resource (xi, 318 pages) : illustrations.
Bibliography:Includes bibliographical references (pages 299-316) and index.
ISBN:9783540494805
3540494804
ISSN:0075-8434 ;
Source of Description, Etc. Note:Print version record.