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Stochastic Equations: Theory and Applications in Acoustics, Hydrodynamics, Magnetohydrodynamics, and Radiophysics, Volume 2: Coherent Phenomena in Stochastic Dynamic Systems: Understanding Complex Systems

Autor Valery I. Klyatskin
en Limba Engleză Paperback – 17 sep 2016
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.
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Specificații

ISBN-13: 9783319382296
ISBN-10: 3319382292
Pagini: 509
Ilustrații: XVIII, 491 p. 51 illus., 1 illus. in color.
Dimensiuni: 155 x 235 x 26 mm
Greutate: 0.71 kg
Ediția:Softcover reprint of the original 1st ed. 2015
Editura: Springer International Publishing
Colecția Springer
Seria Understanding Complex Systems

Locul publicării:Cham, Switzerland

Cuprins

Stochastic structure formations in random hydrodynamic flows.- Density field diffusion and clustering in random hydrodynamic flows.- Magnetic field diffusion and clustering in random magnetohydrodynamic flows.- Wave localization in randomly layered media.- Wave propagation in random media.- Appendices, Imbedding method in boundary-value wave problems.

Textul de pe ultima copertă

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.

Caracteristici

Presents a consistent framework of stochastic dynamic systems with maximal possible completeness The present Volume 2 presents Coherent Phenomena in Stochastic Dynamic Systems Studies specific problems of the stochastic structure formation in random media not published elsewhere before With illustrative applications from acoustics, hydrodynamics, magnetohydrodynamics, wave dynamics, and radiophysics