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- catalog abstract "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.".
- catalog contributor b11064788.
- catalog created "1998.".
- catalog date "1998".
- catalog date "1998.".
- catalog dateCopyrighted "1998.".
- catalog description "Includes bibliographical references and index.".
- catalog description "Shock Waves and Large Scale Structure (LSS) of the Universe -- Hydrodynamic Limits, Nonlinear Diffusions, Propagation of Chaos -- Hopf-Cole Formula and Its Asymptotic Analysis -- Statistical Description in Burgers' Turbulence -- Hyperbolic Approximation and the Inviscid Limit -- Forced Burgers' Turbulence -- Passive Tracer Transport in Burgers' and Related Flows -- Fractal Burgers-KPZ Models -- Biobliography -- Index.".
- catalog description "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.".
- catalog extent "xi, 318 p. :".
- catalog hasFormat "Burgers-KPZ turbulence.".
- catalog identifier "354065237X (softcover : alk. paper)".
- catalog isFormatOf "Burgers-KPZ turbulence.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1700.".
- catalog isPartOf "Lecture notes in mathematics, 0075-8434 ; 1700".
- catalog issued "1998".
- catalog issued "1998.".
- catalog language "eng".
- catalog publisher "New York : Springer Verlag,".
- catalog relation "Burgers-KPZ turbulence.".
- catalog subject "510 s 530.4127 21".
- catalog subject "Burgers equation.".
- catalog subject "Differential equations, Parabolic.".
- catalog subject "Differential equations, partial.".
- catalog subject "Distribution (Probability theory).".
- catalog subject "Interfaces (Physical sciences) Mathematical models.".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no. 1700 QC173.4.I57".
- catalog subject "Turbulence Mathematical models.".
- catalog tableOfContents "Shock Waves and Large Scale Structure (LSS) of the Universe -- Hydrodynamic Limits, Nonlinear Diffusions, Propagation of Chaos -- Hopf-Cole Formula and Its Asymptotic Analysis -- Statistical Description in Burgers' Turbulence -- Hyperbolic Approximation and the Inviscid Limit -- Forced Burgers' Turbulence -- Passive Tracer Transport in Burgers' and Related Flows -- Fractal Burgers-KPZ Models -- Biobliography -- Index.".
- catalog title "Burgers-KPZ turbulence : Göttingen lectures / Wojbor A. Woyczyński.".
- catalog type "text".