| Dewey Class |
515.353 |
| Title |
Burgers-KPZ Turbulence ([EBook]) : Göttingen Lectures / by Wojbor A. Woyczyński. |
| Author |
Woyczynski, Wojbor Andrzej , 1943- |
| Other name(s) |
SpringerLink (Online service) |
| Publication |
Berlin, Heidelberg : Springer , 1998. |
| Physical Details |
XII, 328 pages : online resource. |
| Series |
Lecture Notes in Mathematics 0075-8434 ; ; 1700 |
| ISBN |
9783540494805 |
| Note |
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. |
| Summary Note |
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.: |
| Contents note |
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. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) |
| Internet Site |
http://dx.doi.org/10.1007/BFb0093107 |
| Links to Related Works |
Subject References:
Authors:
Corporate Authors:
Series:
Classification:
|
|---|
