Burgers-KPZ Turbulence [electronic resource] : Göttingen Lectures /

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.

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Bibliographic Details
Main Authors: Woyczyński, Wojbor A. author., SpringerLink (Online service)
Format: Texto biblioteca
Language:eng
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1998
Subjects:Mathematics., Partial differential equations., Probabilities., Partial Differential Equations., Probability Theory and Stochastic Processes.,
Online Access:http://dx.doi.org/10.1007/BFb0093107
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