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121227s1998 gw | s |||| 0|eng d |
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|a 9783540494805
|9 978-3-540-49480-5
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|a 10.1007/BFb0093107
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|a 515.353
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|a Woyczynski, Wojbor A.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a Burgers-KPZ Turbulence
|h [electronic resource] :
|b Göttingen Lectures /
|c by Wojbor A. Woyczynski.
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|a 1st ed. 1998.
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg :
|b Imprint: Springer,
|c 1998.
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|a XII, 328 p.
|b online resource.
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|a text
|b txt
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|a computer
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|2 rdamedia
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|a online resource
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|a text file
|b PDF
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|a Lecture Notes in Mathematics,
|x 0075-8434 ;
|v 1700
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|a Shock 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.
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|a These 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.
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|a Partial differential equations.
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|a Probabilities.
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|a Partial Differential Equations.
|0 http://scigraph.springernature.com/things/product-market-codes/M12155
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|a Probability Theory and Stochastic Processes.
|0 http://scigraph.springernature.com/things/product-market-codes/M27004
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9783662181584
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|i Printed edition:
|z 9783540652373
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|a Lecture Notes in Mathematics,
|x 0075-8434 ;
|v 1700
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|u https://doi.org/10.1007/BFb0093107
|z Full Text via HEAL-Link
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|a ZDB-2-SMA
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|a ZDB-2-LNM
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|a ZDB-2-BAE
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|a Mathematics and Statistics (Springer-11649)
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