Burgers-KPZ turbulence : Göttingen lectures / Wojbor A. Woyczyński
Type de document : Livre numériqueCollection : Lecture notes in mathematics, 1700Langue : anglais.Éditeur : Berlin : Springer, 1998ISBN: 9783540652373.ISSN: 1617-9692.Sujet MSC : 60H15, Probability theory and stochastic processes - Stochastic analysis, Stochastic partial differential equations60G60, Probability theory and stochastic processes, Random fields
60K40, Probability theory and stochastic processes - Special processes, Other physical applications of random processes
35R60, Miscellaneous topics in partial differential equations, PDEs with randomness, stochastic partial differential equations
37N10, Applications of dynamical systems, Dynamical systems in fluid mechanics, oceanography and meteorologyEn-ligne : Springerlink | Zentralblatt | MathSciNet
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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