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Large Scale Structures in Nonlinear Physics

Proceedings of a Workshop Held in Villefranche-sur-Mer, France, 13–18 January 1991

  • Conference proceedings
  • © 1991

Overview

Editors:
  1. Jean-Daniel Fournier
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  2. Pierre-Louis Sulem
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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Lecture Notes in Physics (LNP, volume 392)

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Table of contents (28 papers)

  1. Front Matter

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  2. The phase-diffusion equation and its regularization for natural convective patterns

    • T. Passot, A. C. Newell
    Pages 1-20

  3. Asymptotic time behavior of nonlinear classical field equations

    • Yves Pomeau
    Pages 21-36

  4. Nonlinear waves and the KAM theorem: Nonlinear degeneracies

    • Walter Craig, C. E. Wayne
    Pages 37-49

  5. Homoclinic structures in open flows

    • Vered Rom-Kedar
    Pages 50-72

  6. Large scale structures in kinetic plasma turbulence

    • D. F. Escande
    Pages 73-104

  7. Supersonic homogeneous turbulence

    • D. H. Porter, P. R. Woodward, A. Pouquet
    Pages 105-125

  8. Large-scale instabilities and inverse cascades in ordinary and MHD flows at low Reynolds numbers

    • B. Galanti, P. -L. Sulem
    Pages 126-146

  9. From quantum fields to fractal structures: Intermittency in particle physics

    • R. Peschanski
    Pages 147-160

  10. Hot QCD and the quark-gluon plasma

    • Michel Le Bellac
    Pages 161-189

  11. New approach to the solution of nonlinear problems

    • Carl M. Bender
    Pages 190-210

  12. Numerical study of the transition to chaotic convection inside spherical shells

    • Lorenzo Valdettaro, Michel Rieutord
    Pages 211-221

  13. Direct numerical simulations of natural and controlled transition of three-dimensional mixing layers

    • P. Comte, M. Lesieur, E. Lamballais
    Pages 222-231

  14. Organized vortices as maximum entropy structures

    • Joël Sommeria
    Pages 232-241

  15. Spectral degeneracy and hydrodynamic stability

    • I. Goldhirsch
    Pages 242-251

  16. Non-linear stability of plane Couette flow

    • Bérengère Dubrulle
    Pages 252-261

  17. Continued-function solutions and eikonal approximations

    • H. M. Fried
    Pages 262-266

  18. Quantum chaos and Sabine's law of reverberation in ergodic rooms

    • Olivier Legrand, Didier Sornette
    Pages 267-274

  19. Self-organized criticality, earthquakes and plate tectonics

    • Didier Sornette, Anne Sornette, Christian Vanneste
    Pages 275-277

  20. Psi-series and their summability for nonintegrable dynamical systems

    • J. -D. Fournier, M. Tabor
    Pages 278-287
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Keywords

About this book

This book collects together recent results on large-scale structures in non-linear science. Coherent states, convective and turbulent patterns, inverse cascades, interfaces and cooperative phenomena in fluids and plasmas are discussed, together with the implementation of concepts of statistical mechanics to particle physics and nuclear matter. Special attention is devoted to phenomena, such as mixing, which display macroscopicfeatures, even though generated by small-scale dynamical processes. In this context, homoclinic structure, the KAM theorem, Lyapunov stability,and singularities are addressed. A new perturbative technique for classical and quantum fields and new results concerning the analysis of hierarchially organized objects are presented. The book should be attractive for a large audience including engineers, mathematicians and physicists.

Bibliographic Information

  • Book Title: Large Scale Structures in Nonlinear Physics

  • Book Subtitle: Proceedings of a Workshop Held in Villefranche-sur-Mer, France, 13–18 January 1991

  • Editors: Jean-Daniel Fournier, Pierre-Louis Sulem

  • Series Title: Lecture Notes in Physics

  • DOI: https://doi.org/10.1007/3-540-54899-8

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1991

  • Softcover ISBN: 978-3-662-13836-6Published: 20 November 2013

  • eBook ISBN: 978-3-540-46469-3Published: 13 August 2005

  • Series ISSN: 0075-8450

  • Series E-ISSN: 1616-6361

  • Edition Number: 1

  • Number of Pages: VIII, 356

  • Number of Illustrations: 89 b/w illustrations

  • Topics: Complex Systems, Statistical Physics and Dynamical Systems

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