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Burgers-KPZ Turbulence : Göttingen Lectures / by Wojbor A. Woyczyński.
Math/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2366,2368-2379,2381-2382 2385,2388-2389
Mixed Availability
LIBRA QA3 .L28 Scattered vols.
Mixed Availability
- Format:
- Book
- Author/Creator:
- Woyczyński, W. A. (Wojbor Andrzej), 1943- author.
- Series:
- Lecture Notes in Mathematics, 0075-8434 ; 1700.
- Lecture Notes in Mathematics, 0075-8434 ; 1700
- Language:
- English
- Subjects (All):
- Differential equations, Partial.
- Distribution (Probability theory).
- Partial Differential Equations.
- Probability Theory and Stochastic Processes.
- Local Subjects:
- Partial Differential Equations.
- Probability Theory and Stochastic Processes.
- Physical Description:
- 1 online resource (XII, 328 pages).
- Contained In:
- Springer eBooks
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1998.
- System Details:
- text file PDF
- Summary:
- 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, et cetera.
- Contents:
- 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.
- Other Format:
- Printed edition:
- ISBN:
- 9783540494805
- Access Restriction:
- Restricted for use by site license.
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