LDR 02131 2200265 4500 010 _a9783540652373 011 _a1617-9692 090 _a14052 101 _aeng 100 _a20181204 frey50 200 _aBurgers-KPZ turbulence _bNUM _eGöttingen lectures _fWojbor A. Woyczyński 210 _aBerlin _cSpringer _d1998 225 _9180169 _aLecture notes in mathematics _i(Online) _v1700 _x1617-9692 300 _aThis 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) 686 _20 _9165508 _a60H15 _bProbability theory and stochastic processes -- Stochastic analysis _xStochastic partial differential equations 686 _20 _9165501 _a60G60 _bProbability theory and stochastic processes -- Stochastic processes _xRandom fields 686 _20 _9165547 _a60K40 _bProbability theory and stochastic processes -- Special processes _xOther physical applications of random processes 686 _20 _9163797 _a35R60 _bPartial differential equations -- Miscellaneous topics _xPartial differential equations with randomness, stochastic partial differential equations 686 _20 _9163969 _a37N10 _bDynamical systems and ergodic theory -- Applications _xDynamical systems in fluid mechanics, oceanography and meteorology 700 _4070 _9178156 _aWoyczyński _bWojbor Andrzej _f1943- 856 _uhttp://link.springer.com/book/10.1007/BFb0093107 _zSpringerlink 856 _uhttp://zbmath.org/?q=an:0919.60004 _zZentralblatt 856 _uhttp://www.ams.org/mathscinet-getitem?mr=1732301 _zMathSciNet 905 _aaw _b2014-01-07 001 14052