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Stochastic Equations: Theor...
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. .
Monografía
monografia Rebiun23323748 https://catalogo.rebiun.org/rebiun/record/Rebiun23323748 cr#nn#008mamaa 140714s2015 gw s 00 0 eng d 9783319075877 9783319075884 9783319075860 9783319357751 10.1007/978-3-319-07587-7 doi UMA.RE eng GPFC bicssc TEC000000 bisacsh 620 23 Klyatskin, Valery I. aut. http://id.loc.gov/vocabulary/relators/aut Stochastic Equations: Theory and Applications in Acoustics, Hydrodynamics, Magnetohydrodynamics, and Radiophysics, Volume 1 Recurso electrónico] :] Basic Concepts, Exact Results, and Asymptotic Approximations by Valery I. Klyatskin Cham Springer International Publishing 2015 Cham Cham Springer International Publishing Cham Springer International Publishing Imprint: Springer 2015 Cham Cham Springer International Publishing Imprint: Springer XX, 418 p. 45 il XX, 418 p. 45 il Text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Understanding Complex Systems Bibliographic Level Mode of Issuance: Monograph 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. . English Engineering Differentiable dynamical systems Hydraulic engineering Complexity. Data-driven Science, Modeling and Theory Building. Dynamical Systems and Ergodic Theory. Engineering Fluid Dynamics. Engineering Differentiable dynamical systems Hydraulic engineering Complexity Data-driven Science, Modeling and Theory Building Dynamical Systems and Ergodic Theory Engineering Fluid Dynamics 3-319-07586-1 Understanding Complex Systems