000 02879nam a22004815i 4500
001 978-3-540-49480-5
003 DE-He213
005 20160624101831.0
007 cr nn 008mamaa
008 121227s1998 gw | s |||| 0|eng d
020 _a9783540494805
_9978-3-540-49480-5
024 7 _a10.1007/BFb0093107
_2doi
050 4 _aQA370-380
072 7 _aPBKJ
_2bicssc
072 7 _aMAT007000
_2bisacsh
082 0 4 _a515.353
_223
100 1 _aWoyczyński, Wojbor A.
_eauthor.
245 1 0 _aBurgers-KPZ Turbulence
_h[electronic resource] :
_bGöttingen Lectures /
_cby Wojbor A. Woyczyński.
260 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1998.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1998.
300 _aXII, 328 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1700
505 0 _aShock 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.
520 _aThese 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.
650 0 _aMathematics.
650 0 _aDifferential equations, partial.
650 0 _aDistribution (Probability theory).
650 1 4 _aMathematics.
650 2 4 _aPartial Differential Equations.
650 2 4 _aProbability Theory and Stochastic Processes.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540652373
786 _dSpringer
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1700
856 4 0 _uhttp://dx.doi.org/10.1007/BFb0093107
942 _2EBK1752
_cEBK
999 _c31046
_d31046