Burgers-KPZ Turbulence Göttingen Lectures

Burgers-KPZ Turbulence Göttingen Lectures / by Wojbor A. Woyczynski.

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. Howev...

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Bibliographic Details
Main Author: Woyczynski, Wojbor A. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1998.
Edition:1st ed. 1998.
Series:Lecture Notes in Mathematics, 1700
Springer eBook Collection.
Subjects:
Partial differential equations.
Probabilities.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
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.

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