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Stochastic equations = theory and ap...

Klyatskin, Valery I.

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Stochastic equations = theory and applications in acoustics, hydrodynamics, magnetohydrodynamics, and radiophysics.. Volume 1,. Basic concepts, exact results, and asymptotic approximations /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Stochastic equations/ by Valery I. Klyatskin ; translated from Russian by A. Vinogradov.
Reminder of title:	theory and applications in acoustics, hydrodynamics, magnetohydrodynamics, and radiophysics.
remainder title:	Basic concepts, exact results, and asymptotic approximations
Author:	Klyatskin, Valery I.
other author:	Vinogradov, A.
Published:	Cham :Springer International Publishing : : 2015.,
Description:	xx, 418 p. :ill., digital ;24 cm.
[NT 15003449]:	Dynamical description of stochastic systems -- Random quantities, processes, and fields -- Stochastic equations -- Asymptotic methods for analyzing stochastic equations.
Contained By:	Springer eBooks
Subject:	Stochastic processes. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-07587-7
ISBN:	9783319075877 (electronic bk.)

Stochastic equations = theory and applications in acoustics, hydrodynamics, magnetohydrodynamics, and radiophysics.. Volume 1,. Basic concepts, exact results, and asymptotic approximations /
Klyatskin, Valery I.

Stochastic equationstheory and applications in acoustics, hydrodynamics, magnetohydrodynamics, and radiophysics.Volume 1,Basic concepts, exact results, and asymptotic approximations /[electronic resource] :Basic concepts, exact results, and asymptotic approximationsby Valery I. Klyatskin ; translated from Russian by A. Vinogradov. - Cham :Springer International Publishing :2015. - xx, 418 p. :ill., digital ;24 cm. - Understanding complex systems,1860-0832. - Understanding complex systems..

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

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.

ISBN: 9783319075877 (electronic bk.)

Standard No.: 10.1007/978-3-319-07587-7doiSubjects--Topical Terms:

520663
Stochastic processes.

LC Class. No.: QA274

Dewey Class. No.: 519.23

Stochastic equations = theory and applications in acoustics, hydrodynamics, magnetohydrodynamics, and radiophysics.. Volume 1,. Basic concepts, exact results, and asymptotic approximations /
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520 $a 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.
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