Stochastic Equations: Theory and Applications in Acoustics, Hydrodynamics, Magnetohydrodynamics, and Radiophysics, Volume 1

Basic Concepts, Exact Results, and Asymptotic Approximations

Valery I. Klyatskin (Autor)

Buch | Hardcover

XX, 418 Seiten

2014
Springer International Publishing (Verlag)
978-3-319-07586-0 (ISBN)

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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.

Dynamical description of stochastic systems.- Random quantities, processes, and fields.- Stochastic equations.- Asymptotic methods for analyzing stochastic equations.

"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)

Erscheint lt. Verlag	29.7.2014
Reihe/Serie	Understanding Complex Systems
Zusatzinfo	XX, 418 p. 45 illus.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	818 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Sozialwissenschaften
	Technik ► Maschinenbau
Schlagworte	Complexity • Complex Systems • Data-driven Science, Modeling and Theory Building • Stochastic Dynamics • Stochastic Dynamic Systems • stochastic equations
ISBN-10	3-319-07586-1 / 3319075861
ISBN-13	978-3-319-07586-0 / 9783319075860
Zustand	Neuware