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  • © 2015

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

Coherent Phenomena in Stochastic Dynamic Systems

Authors:

  1. Valery I. Klyatskin

    1. Russian Academy of Sciences, A.M. Obukhov Institute of Atmospheric Physics, Moscow, Russia

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  • 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

Part of the book series: Understanding Complex Systems (UCS)

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Table of contents (20 chapters)

  1. Front Matter

    Pages 1-16
    PDF

  2. Stochastic Structure Formations in Random Hydrodynamic Flows

    1. Front Matter

      Pages 1-1
      PDF

    2. Equilibrium Distributions for Hydrodynamic Flows

      • Valery I. Klyatskin
      Pages 3-14

    3. Rogue Waves as an Object of Statistical Topography

      • Valery I. Klyatskin
      Pages 15-23

  3. Density Field Diffusion and Clustering in Random Hydrodynamic Flows

    1. Front Matter

      Pages 25-25
      PDF

  4. Magnetic Field Diffusion and Clustering in Random Magnetohydrodynamics Flows

    1. Front Matter

      Pages 137-137
      PDF

  5. Wave Localization in Randomly Layered Media

    1. Front Matter

      Pages 183-183
      PDF

    2. General Remarks

      • Valery I. Klyatskin
      Pages 185-190

    3. Statistics of Scattered Field at Layer Boundaries

      • Valery I. Klyatskin
      Pages 191-211

    5. Eigenvalue and Eigenfunction Statistics

      • Valery I. Klyatskin
      Pages 253-260

    6. Multidimensional Wave Problems in Layered Random Media

      • Valery I. Klyatskin
      Pages 261-275
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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.
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Keywords

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Authors and Affiliations

  • Russian Academy of Sciences, A.M. Obukhov Institute of Atmospheric Physics, Moscow, Russia

    Valery I. Klyatskin

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Bibliographic Information

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

  • Book Subtitle: Coherent Phenomena in Stochastic Dynamic Systems

  • Authors: Valery I. Klyatskin

  • Series Title: Understanding Complex Systems

  • DOI: https://doi.org/10.1007/978-3-319-07590-7

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing Switzerland 2015

  • Hardcover ISBN: 978-3-319-07589-1Published: 29 July 2014

  • Softcover ISBN: 978-3-319-38229-6Published: 17 September 2016

  • eBook ISBN: 978-3-319-07590-7Published: 14 July 2014

  • Series ISSN: 1860-0832

  • Series E-ISSN: 1860-0840

  • Edition Number: 1

  • Number of Pages: XVIII, 491

  • Number of Illustrations: 50 b/w illustrations, 1 illustrations in colour

  • Topics: Complexity, Applications of Nonlinear Dynamics and Chaos Theory, Dynamical Systems and Ergodic Theory, Engineering Fluid Dynamics

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Buy it now

eBook USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

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