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024 7 $a10.1007/978-3-319-07587-7
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100   $a20140714d2015      u|         0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aStochastic Equations: Theory and Applications in Acoustics, Hydrodynamics, Magnetohydrodynamics, and Radiophysics, Volume 1 $eBasic Concepts, Exact Results, and Asymptotic Approximations /$fby Valery I. Klyatskin
205   $a1st ed. 2015.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015.
215   $a1 online resource (XX, 418 p. 45 illus.)
225 1 $aUnderstanding Complex Systems,$x1860-0832
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-319-07586-1 
327   $aDynamical description of stochastic systems -- Random quantities, processes, and fields -- Stochastic equations -- Asymptotic methods for analyzing stochastic equations.
330   $aThis monograph set presents a consistent and self-contained framework of stochastic dynamic systems with maximal possible completeness. Volume 1 presents the basic concepts, exact results, and asymptotic approximations of the theory of stochastic equations on the basis of the developed functional approach. This approach offers a possibility of both obtaining exact solutions to stochastic problems for a number of models of fluctuating parameters and constructing various asymptotic buildings. Ideas of statistical topography are used to discuss general issues of generating coherent structures from chaos with probability one, i.e., almost in every individual realization of random parameters. The general theory is illustrated with certain problems and applications of stochastic mathematical physics in various fields such as mechanics, hydrodynamics, magnetohydrodynamics, acoustics, optics, and radiophysics.  .
410  0$aUnderstanding Complex Systems,$x1860-0832
606   $aComputational complexity
606   $aSociophysics
606   $aEconophysics
606   $aDynamics
606   $aErgodic theory
606   $aFluid mechanics
606   $aComplexity$3https://scigraph.springernature.com/ontologies/product-market-codes/T11022
606   $aData-driven Science, Modeling and Theory Building$3https://scigraph.springernature.com/ontologies/product-market-codes/P33030
606   $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X
606   $aEngineering Fluid Dynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15044
615  0$aComputational complexity.
615  0$aSociophysics.
615  0$aEconophysics.
615  0$aDynamics.
615  0$aErgodic theory.
615  0$aFluid mechanics.
615 14$aComplexity.
615 24$aData-driven Science, Modeling and Theory Building.
615 24$aDynamical Systems and Ergodic Theory.
615 24$aEngineering Fluid Dynamics.
676   $a519.23
700   $aKlyatskin$b Valery I$4aut$4http://id.loc.gov/vocabulary/relators/aut$0934990
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910299850103321
996   $aStochastic Equations: Theory and Applications in Acoustics, Hydrodynamics, Magnetohydrodynamics, and Radiophysics, Volume 1$92543739
997   $aUNINA