Burgers-KPZ turbulence
Subtitle: Göttingen lectures
By: Wojbor A. Woyczyński.
Series: Lecture notes in mathematics,; 1700; Lecture notes in mathematics (Springer-Verlag) ;; 1700.
Publisher: Springer
Published: 1998
Place of publication: Berlin; New York
Language: eng
Number of pages: 318
Subjects: Interfaces (Physical sciences) -- Mathematical models; Turbulence -- Mathematical models; Burgers equation; Differential equations, Parabolic
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.
Notes: Includes bibliographical references (p. [299]-316) and index.