Notes: | This book summarizes recent results on Burgers equation with random data and related topics. These notes are written as 8 lectures: Shock waves and large scale structure of the Universe; Hydrodynamic limits, nonlinear diffusions, propagation of chaos; Hopf-Cole formula and its asymptotic analysis; Statistical description, parabolic approximation; Hyperbolic approximation and the inviscid limit; Forced Burgers turbulence; Passive tracer transport in Burgers’ and related flows; Fractal Burgers KPZ models. This book will be of interest to mathematicians and physicists who use partial differential equations theory and random fields. (Zentralblatt) |