Title: Burgers-KPZ turbulence
First published: 1998
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.
Subjects: Burgers equation, Differential equations, Parabolic, Interfaces (Physical sciences), Mathematical models, Parabolic Differential equations, Turbulence, Mathematics, Distribution (Probability theory), Partial Differential equations, Fractales, Equation de Burgers, Burgers-Gleichung, Equations differentielles paraboliques, Equacoes diferenciais parciais, Stochastische analyse, Interfaces (sciences physiques), Modeles mathematiques, Mecanica e dinamica dos fluidos, Turbulenz, KPZ-Gleichung, Ondes de choc, Differential equations, partial
LC classification: QA3 .L28 no. 1700, QC173.4.I57 .L28 no. 1700