ENGLISH

Burgers-KPZ Turbulence: Göttingen Lectures

By Wojbor A. Woyczyński (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1998
ISBN
978-3-540-65237-3, 978-3-540-49480-5
DOI
10.1007/BFb0093107
Language
english
Format
PDF
Filesize
5 MB (4721577 bytes)
Series
Lecture Notes in Mathematics 1700
Edition
1
Pages
328\325
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Partial Differential Equations; Probability Theory

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.

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