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Stochastic Equations: Theory and Applications in Acoustics, Hydrodynamics, Magnetohydrodynamics, and Radiophysics, Volume 1: Basic Concepts, Exact Results, and Asymptotic Approximations (Hardback)

Valery I. Klyatskin

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ISBN 10: 3319075861 / ISBN 13: 9783319075860
Editorial: Springer International Publishing AG, Switzerland, 2014
Nuevos Condición: New Encuadernación de tapa dura
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Descripción

Language: English. Brand new 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. N° de ref. de la librería SPR9783319075860

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Detalles bibliográficos

Título: Stochastic Equations: Theory and ...

Editorial: Springer International Publishing AG, Switzerland

Año de publicación: 2014

Encuadernación: Hardback

Condición del libro: New

Edición: 2015 ed.

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Sinopsis:

<P>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.</P>

Críticas:

“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)

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