Burgers-KPZ Turbulence
Göttingen Lectures
(Sprache: Englisch)
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...
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Klappentext zu „Burgers-KPZ Turbulence “
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.
Inhaltsverzeichnis zu „Burgers-KPZ Turbulence “
- Shock Waves and Large Scale Structure (LSS) of the Universe- Hydrodynamic Limits, Nonlinear Diffusions, Propagation of Chaos
- Hopf-Cole Formula and Its Asymptotic Analysis
- Statistical Description in Burgers' Turbulence
- Hyperbolic Approximation and the Inviscid Limit
- Forced Burgers' Turbulence
- Passive Tracer Transport in Burgers' and Related Flows
- Fractal Burgers-KPZ Models
- Biobliography
- Index
Bibliographische Angaben
- Autor: Wojbor A. woyczynski
- 1998, 328 Seiten, mit Abbildungen, Masse: 15,8 x 23,4 cm, Kartoniert (TB), Englisch
- Verlag: Springer
- ISBN-10: 354065237X
- ISBN-13: 9783540652373
- Erscheinungsdatum: 18.11.1998
Sprache:
Englisch
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