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

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 ap...

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Tác giả chính:	Klyatskin, Valery I.
Định dạng:	Sách
Ngôn ngữ:	English
Được phát hành:	Springer 2015
Những chủ đề:	Stochastic processes Stochastic differential equations Engineering
Truy cập trực tuyến:	https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/57540
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spelling	oai:scholar.dlu.edu.vn:DLU123456789-575402023-11-11T05:47:42Z Stochastic Equations: Theory and Applications in Acoustics, Hydrodynamics, Magnetohydrodynamics, and Radiophysics, Volume 1:Basic Concepts, Exact Results, and Asymptotic Approximations Klyatskin, Valery I. Stochastic processes Stochastic differential equations Engineering 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. 2015-08-18T02:24:27Z 2015-08-18T02:24:27Z 2015 Book 978-3-319-07587-7 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/57540 en application/pdf Springer
institution	Thư viện Trường Đại học Đà Lạt
collection	Thư viện số
language	English
topic	Stochastic processes Stochastic differential equations Engineering
spellingShingle	Stochastic processes Stochastic differential equations Engineering Klyatskin, Valery I. Stochastic Equations: Theory and Applications in Acoustics, Hydrodynamics, Magnetohydrodynamics, and Radiophysics, Volume 1:Basic Concepts, Exact Results, and Asymptotic Approximations
description	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.
format	Book
author	Klyatskin, Valery I.
author_facet	Klyatskin, Valery I.
author_sort	Klyatskin, Valery I.
title	Stochastic Equations: Theory and Applications in Acoustics, Hydrodynamics, Magnetohydrodynamics, and Radiophysics, Volume 1:Basic Concepts, Exact Results, and Asymptotic Approximations
title_short	Stochastic Equations: Theory and Applications in Acoustics, Hydrodynamics, Magnetohydrodynamics, and Radiophysics, Volume 1:Basic Concepts, Exact Results, and Asymptotic Approximations
title_full	Stochastic Equations: Theory and Applications in Acoustics, Hydrodynamics, Magnetohydrodynamics, and Radiophysics, Volume 1:Basic Concepts, Exact Results, and Asymptotic Approximations
title_fullStr	Stochastic Equations: Theory and Applications in Acoustics, Hydrodynamics, Magnetohydrodynamics, and Radiophysics, Volume 1:Basic Concepts, Exact Results, and Asymptotic Approximations
title_full_unstemmed	Stochastic Equations: Theory and Applications in Acoustics, Hydrodynamics, Magnetohydrodynamics, and Radiophysics, Volume 1:Basic Concepts, Exact Results, and Asymptotic Approximations
title_sort	stochastic equations: theory and applications in acoustics, hydrodynamics, magnetohydrodynamics, and radiophysics, volume 1:basic concepts, exact results, and asymptotic approximations
publisher	Springer
publishDate	2015
url	https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/57540
_version_	1782540725596979200

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

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