ENGLISH

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

By Valery I. Klyatskin (auth.)

Book information

Publisher
Springer International Publishing
Year
2015
ISBN
978-3-319-07589-1, 978-3-319-07590-7
DOI
10.1007/978-3-319-07590-7
Language
english
Format
PDF
Filesize
9 MB (9406806 bytes)
Series
Understanding Complex Systems
Edition
1
Pages
491\489
Time added
2014-11-10 20:00:00
Complexity; Nonlinear Dynamics; Dynamical Systems

Description

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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