Burgers-KPZ Turbulence Göttingen Lectures /

• Main Author: Woyczynski, Wojbor A. (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1998.
• Edition: 1st ed. 1998.
• Series: Lecture Notes in Mathematics, 1700
• Subjects: Partial differential equations.; Probabilities.; Partial Differential Equations.; Probability Theory and Stochastic Processes.

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...

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.