Stochastic equations : theory and applications in acoustics, hydrodynamics, magnetohydrodynamics, and radiophysics. Volume 2, Coherent phenomena in stochastic dynamic systems /

Stochastic equations : theory and applications in acoustics, hydrodynamics, magnetohydrodynamics, and radiophysics. Volume 2, Coherent phenomena in stochastic dynamic systems /

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Bibliographic Details
Author / Creator:	Kli︠a︡t︠s︡kin, Valeriĭ Isaakovich, author.
Imprint:	Cham : Springer, [2014] ©2015
Description:	1 online resource (xviii, 491 pages) : illustrations (some color).
Language:	English
Series:	Understanding Complex Systems, 1860-0832 Springer complexity Understanding complex systems, Springer complexity.
Subject:	Stochastic processes. Stochastic differential equations. Stochastic differential equations. Stochastic processes.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11086576

Hidden Bibliographic Details
Varying Form of Title:	Coherent phenomena in stochastic dynamic systems
Other authors / contributors:	Vinogradov, A., translator.
ISBN:	9783319075907 331907590X 9783319075891
Notes:	Includes bibliographical references and index. Online resource; title from PDF title page (SpringerLink, viewed August 1, 2014).
Summary:	In some cases, certain coherent structures can exist in stochastic dynamic systems almost in every particular realization of random parameters describing these systems. Dynamic localization in one-dimensional dynamic systems, vortexgenesis (vortex production) in hydrodynamic flows, and phenomenon of clustering of various fields in random media (i.e., appearance of small regions with enhanced content of the field against the nearly vanishing background of this field in the remaining portion of space) are examples of such structure formation. The general methodology presented in Volume 1 is used in Volume 2 Coherent Phenomena in Stochastic Dynamic Systems to expound the theory of these phenomena in some specific fields of stochastic science, among which are hydrodynamics, magnetohydrodynamics, acoustics, optics, and radiophysics. The material of this volume includes particle and field clustering in the cases of scalar (density field) and vector (magnetic field) passive tracers in a random velocity field, dynamic localization of plane waves in layered random media, as well as monochromatic wave propagation and caustic structure formation in random media in terms of the scalar parabolic equation.
Standard no.:	10.1007/978-3-319-07590-7

Description
Summary:	In some cases, certain coherent structures can exist in stochastic dynamic systems almost in every particular realization of random parameters describing these systems. Dynamic localization in one-dimensional dynamic systems, vortexgenesis (vortex production) in hydrodynamic flows, and phenomenon of clustering of various fields in random media (i.e., appearance of small regions with enhanced content of the field against the nearly vanishing background of this field in the remaining portion of space) are examples of such structure formation. The general methodology presented in Volume 1 is used in Volume 2 Coherent Phenomena in Stochastic Dynamic Systems to expound the theory of these phenomena in some specific fields of stochastic science, among which are hydrodynamics, magnetohydrodynamics, acoustics, optics, and radiophysics. The material of this volume includes particle and field clustering in the cases of scalar (density field) and vector (magnetic field) passive tracers in a random velocity field, dynamic localization of plane waves in layered random media, as well as monochromatic wave propagation and caustic structure formation in random media in terms of the scalar parabolic equation.
Physical Description:	1 online resource (xviii, 491 pages) : illustrations (some color).
Bibliography:	Includes bibliographical references and index.
ISBN:	9783319075907 331907590X 9783319075891
ISSN:	1860-0832