Burgers-KPZ turbulence : Göttingen lectures

Bibliographic Information

Burgers-KPZ turbulence : Göttingen lectures

Wojbor A. Woyczyński

(Lecture notes in mathematics, 1700)

Springer Verlag, c1998

Search this Book/Journal
Note

Includes bibliographical references (p. [299]-316) and index

Description and Table of Contents

Description

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.

Table of Contents

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.

by "Nielsen BookData"

Related Books: 1-1 of 1
Details
Page Top