Stochastic Equations: Theory and Applications in Acoustics, Hydrodynamics, Magnetohydrodynamics, and Radiophysics, Volume 2

Coherent Phenomena in Stochastic Dynamic Systems

  • Valery I.¬†Klyatskin

Part of the Understanding Complex Systems book series (UCS)

Table of contents

  1. Front Matter
    Pages 1-16
  2. Stochastic Structure Formations in Random Hydrodynamic Flows

    1. Front Matter
      Pages 1-1
    2. Valery I. Klyatskin
      Pages 3-14
    3. Valery I. Klyatskin
      Pages 15-23
  3. Density Field Diffusion and Clustering in Random Hydrodynamic Flows

  4. Magnetic Field Diffusion and Clustering in Random Magnetohydrodynamics Flows

  5. Wave Localization in Randomly Layered Media

    1. Front Matter
      Pages 183-183
    2. Valery I. Klyatskin
      Pages 185-190
    3. Valery I. Klyatskin
      Pages 191-211
    4. Valery I. Klyatskin
      Pages 253-260
    5. Valery I. Klyatskin
      Pages 261-275

About this book


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.


Complex Systems Random Media Stochastic Dynamic Systems Stochastic Dynamics Stochastic Equations

Authors and affiliations

  • Valery I.¬†Klyatskin
    • 1
  1. 1.Russian Academy of SciencesA.M. Obukhov Institute of Atmospheric PhysicsMoscowRussia

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-07589-1
  • Online ISBN 978-3-319-07590-7
  • Series Print ISSN 1860-0832
  • Series Online ISSN 1860-0840
  • About this book
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