Woyczynski Burgers-KPZ Turbulence

Göttingen Lectures
Erscheinungsjahr 2006
ISBN: 978-3-540-49480-5
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 1700, 328 Seiten, eBook

Reihe: Lecture Notes in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Woyczynski, Wojbor A.

Inhaltsverzeichnis

Shock waves and the large scale structure (LSS) of the universe.- Hydrodynamic limits, nonlinear diffusions, and propagation of chaos.- Hopf-Cole formula and its asymptotic analysis.- Statistical description, parabolic approximation.- Hyperbolic approximation and inviscid limit.- Forced Burgers turbulence.- Passive tracer transport in Burgers' and related flows.- Fractal Burgers-KPZ models.