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Dynamo and Dynamics, a Mathematical Challenge

  • P. Chossat
  • D. Ambruster
  • I. Oprea

Part of the NATO Science Series book series (NAII, volume 26)

Table of contents

  1. Front Matter
    Pages I-XIX
  2. Laboratory dynamos, theory and experiments

    1. P. Frick, S. Denisov, S. Khripchenko, V. Noskov, D. Sokoloff, R. Stepanov
      Pages 1-8
    2. A. Gailitis, O. Lielausis, E. Platacis, G. Gerbeth, F. Stefani
      Pages 9-16
    3. P. Laure, P. Chossat, F. Daviaud
      Pages 17-24
    4. Jacques Léorat, P. Lallemand, J.L. Guermond, F. Plunian
      Pages 25-33
    5. L. Marié, J. Burguete, A. Chiffaudel, F. Daviaud, D. Ericher, C. Gasquet et al.
      Pages 35-50
    6. C. Nore, M.E. Brachet, H. Politano, A. Pouquet
      Pages 51-58
    7. R. O’Connell, Roch Kendrick, Mark Nornberg, Erik Spence, Adam Bayliss, C. B. Forest
      Pages 59-66
    8. A. Nunez, F. Petrelis, S. Fauve
      Pages 67-74
    9. Yannick Ponty, Andrew Gilbert, Andrew Soward
      Pages 75-82
    10. Woodrow L. Shew, Daniel R. Sisan, Daniel P. Lathrop
      Pages 83-92
    11. B. Sitte, W. Brasch, M. Junk, V. Travnikov, C. Egbers
      Pages 93-100
    12. A. Tilgner, F.H. Busse
      Pages 109-116
  3. Planetary and stellar dynamos, hydrodynamical models and simulations

    1. Alberto Bigazzi, Axel Brandenburg, Kandaswamy Subramanian
      Pages 117-124
    2. Axel Brandenburg
      Pages 125-132
    3. N.H. Brummell, F. Cattaneo, S.M. Tobias
      Pages 145-152
    4. T. Emonet, F. Cattaneo, N. O. Weiss
      Pages 173-180
    5. D.W. Hughes, F. Cattaneo, J.-C. Thelen
      Pages 199-206
    6. D. J. Ivers, C. G. Phillips
      Pages 207-215
    7. S.V. Starchenko
      Pages 217-224
  4. Astrophysical dynamos, observations and theory

    1. K.M. Ferriere
      Pages 225-232
    2. A.S. Gabov, D.D. Sokoloff, A. Shukurov
      Pages 233-237
    3. N. Kleeorin, D. Moss, I. Rogachevskii, D. Sokoloff
      Pages 247-252
    4. A.G. Kosovichev
      Pages 253-260
    5. M. Rieutord, L. Valdettaro
      Pages 271-277
    6. I. Rogachevskii, N. Kleeorin
      Pages 279-287
    7. Andrew Soward, Andrew Bassom, Yannick Ponty
      Pages 297-304
    8. B. Von Rekowski, W. Dobler, A Shukurov, A. Brandenburg
      Pages 305-312
  5. Dynamos as dynamical systems, low-order models and phenomenology

    1. Dieter Armbruster, Pascal Chossat, Iuliana Oprea
      Pages 313-322
    2. E. E. Benevolenskaya
      Pages 323-330
    3. John M. Brooke, Jaan Pelt, Pentti Pulkkinen, Ilkka Tuominen
      Pages 331-338
    4. H. Fuchs, K.-H. Rädler, M. Rheinhardt
      Pages 339-346
    5. I. Melbourne, M.R.E. Proctor, A.M. Rucklidge
      Pages 363-370
    6. Reza Tavakol, Eurico Covas, David Moss
      Pages 371-379
    7. N.O. Weiss, E. Knobloch, S.M. Tobias
      Pages 381-390

About this book

Introduction

This book contains the lectures given at the workshop "Dynamo and dynamics, a mathematical challenge" held in Cargese from August 21 to 26, 2000. The workshop differed from most previous conferences on the dynamo effect in two important respects. First, it was at this international conference that the experimental observation of homogeneous fluid dynamos was first reported. Second, the conference gathered scientists from very different fields, thus showing that thepynamo problem has become an interdisciplinary subject involving not only astrophysicists and geophysicists, but also scientists working in dynamical systems theory, hydrodynamics, and numerical simulation, as well as several groups in experimental physics. This book thus reports important results on various dynamo studies in these different contexts: - Decades after the discovery of the first analytic examples of laminar fluid dynamos, the self-generation of a magnetic field by a flow ofliquid sodium has been reported by the Karlsruhe and Riga groups. Although there were no doubts concerning the self generation by the laminar Roberts-type or Ponomarenko-type flows that were used, these experiments have raised interesting questions about the influence of the turbulent fluctuations on the dynamo threshold and on the saturation level of the magnetic field.

Keywords

Magnetohydrodynamics convection linear optimization model simulation

Editors and affiliations

  • P. Chossat
    • 1
  • D. Ambruster
    • 2
  • I. Oprea
    • 3
  1. 1.I.N.L.N.(CNRS,UMR 6618)ValbonneFrance
  2. 2.Department of MathematicsArizona State UniversityTempeUSA
  3. 3.University of BucarestRomania

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-010-0788-7
  • Copyright Information Kluwer Academic Publishers 2001
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-7923-7070-3
  • Online ISBN 978-94-010-0788-7
  • Series Print ISSN 1568-2609
  • Buy this book on publisher's site
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