Authors:
- Presents a consistent framework of stochastic dynamic systems with maximal possible completeness
- The present Volume 2 presents Coherent Phenomena in Stochastic Dynamic Systems
- Studies specific problems of the stochastic structure formation in random media not published elsewhere before
- With illustrative applications from acoustics, hydrodynamics, magnetohydrodynamics, wave dynamics, and radiophysics
Part of the book series: Understanding Complex Systems (UCS)
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Table of contents (13 chapters)
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Front Matter
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Dynamical Description of Stochastic Systems
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Front Matter
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Random Quantities, Processes, and Fields
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Front Matter
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Stochastic Equations
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Front Matter
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Asymptotic and Approximate Methods for Analyzing Stochastic Equations
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Front Matter
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Back Matter
About this book
This monograph set presents a consistent and self-contained framework of stochastic dynamic systems with maximal possible completeness. Volume 1 presents the basic concepts, exact results, and asymptotic approximations of the theory of stochastic equations on the basis of the developed functional approach. This approach offers a possibility of both obtaining exact solutions to stochastic problems for a number of models of fluctuating parameters and constructing various asymptotic buildings. Ideas of statistical topography are used to discuss general issues of generating coherent structures from chaos with probability one, i.e., almost in every individual realization of random parameters. The general theory is illustrated with certain problems and applications of stochastic mathematical physics in various fields such as mechanics, hydrodynamics, magnetohydrodynamics, acoustics, optics, and radiophysics.
Reviews
“The book represents a comprehensive and very well-written study of stochastic equations and their applications to acoustics, hydrodynamics, and other branches of physics. … The book may be recommended to all interested in the subject; it is really a pleasant read! The book may be also recommended as a textbook for graduate students in both stochastic analysis and diverse areas of applied mathematics.” (B. Belinskiy, Mathematical Reviews, August, 2015)
Authors and Affiliations
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Russian Academy of Sciences, A.M. Obukhov Institute of Atmospheric Physics, Moscow, Russia
Valery I. Klyatskin
Bibliographic Information
Book Title: Stochastic Equations: Theory and Applications in Acoustics, Hydrodynamics, Magnetohydrodynamics, and Radiophysics, Volume 1
Book Subtitle: Basic Concepts, Exact Results, and Asymptotic Approximations
Authors: Valery I. Klyatskin
Series Title: Understanding Complex Systems
DOI: https://doi.org/10.1007/978-3-319-07587-7
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Hardcover ISBN: 978-3-319-07586-0Published: 29 July 2014
Softcover ISBN: 978-3-319-35775-1Published: 10 September 2016
eBook ISBN: 978-3-319-07587-7Published: 14 July 2014
Series ISSN: 1860-0832
Series E-ISSN: 1860-0840
Edition Number: 1
Number of Pages: XX, 418
Number of Illustrations: 45 b/w illustrations
Topics: Complexity, Data-driven Science, Modeling and Theory Building, Dynamical Systems and Ergodic Theory, Engineering Fluid Dynamics