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Stochastic Equations: Theory and Applications in Acoustics, Hydrodynamics, Magnetohydrodynamics, and Radiophysics, Volume 1 [electronic resource] : Basic Concepts, Exact Results, and Asymptotic Approximations / by Valery I. Klyatskin.

By: Klyatskin, Valery I [author.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Understanding Complex Systems: Publisher: Cham : Springer International Publishing : Imprint: Springer, 2015Description: XX, 418 p. 45 illus. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783319075877.Subject(s): Engineering | Dynamics | Ergodic theory | Sociophysics | Econophysics | Complexity, Computational | Fluid mechanics | Engineering | Complexity | Socio- and Econophysics, Population and Evolutionary Models | Dynamical Systems and Ergodic Theory | Engineering Fluid DynamicsAdditional physical formats: Printed edition:: No titleDDC classification: 620 Online resources: Click here to access online
Contents:
Dynamical description of stochastic systems -- Random quantities, processes, and fields -- Stochastic equations -- Asymptotic methods for analyzing stochastic equations.
In: Springer eBooksSummary: 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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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.  .

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