Burgers-KPZ turbulence: Göttingen lectures / Wojbor A. Woyczyński

Auteur: Woyczyński, Wojbor Andrzej (1943-) - AuteurType de document: Livre numériqueCollection: Lecture notes in mathematics, (Online) ; 1700Langue: anglaisÉditeur: Berlin : Springer, 1998 ISBN: 9783540652373 Note: 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) Sujets MSC: 60H15 Probability theory and stochastic processes -- Stochastic analysis -- Stochastic partial differential equations
60G60 Probability theory and stochastic processes -- Stochastic processes -- Random fields
60K40 Probability theory and stochastic processes -- Special processes -- Other physical applications of random processes
35R60 Partial differential equations -- Miscellaneous topics -- Partial differential equations with randomness, stochastic partial differential equations
37N10 Dynamical systems and ergodic theory -- Applications -- Dynamical systems in fluid mechanics, oceanography and meteorology
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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)

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