TY  - BOOK
AU  - Woyczyński,Wojbor A.
ED  - SpringerLink (Online service)
TI  - Burgers-KPZ Turbulence: Göttingen Lectures 
T2  - Lecture Notes in Mathematics,
SN  - 9783540494805
AV  - QA370-380 
U1  - 515.353 23
PY  - 1998///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Differential equations, partial
KW  - Distribution (Probability theory)
KW  - Partial Differential Equations
KW  - Probability Theory and Stochastic Processes
N1  - 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
N2  - 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
UR  - http://dx.doi.org/10.1007/BFb0093107
ER  -