Burgers-KPZ Turbulence

Göttingen Lectures

von Wojbor A. Woyczynski

328 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• ISBN: 9783540652373
• Sprache: Englisch
• Erscheinungsdatum: 18.11.1998
• Genre: Mathematik/Analysis
• Verlag: Springer Berlin