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.
| Author: Wojbor A. Woyczynski |
| Publisher: Springer |
| Publication Date: Nov 18, 1998 |
| Number of Pages: 328 pages |
| Binding: Paperback or Softback |
| ISBN-10: 354065237X |
| ISBN-13: 9783540652373 |
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