Topological Aspects of the Dynamics of Fluids and Plasmas

  • H. K. Moffatt
  • G. M. Zaslavsky
  • P. Comte
  • M. Tabor

Part of the NATO ASI Series book series (NSSE, volume 218)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Introductory Lectures

  3. Relaxation and Minimum Energy States

    1. Front Matter
      Pages 149-149
    2. S. I. Vainshtein
      Pages 177-193
    3. A. Y. K. Chui, H. K. Moffatt
      Pages 195-218
    4. Michael H. Freedman, Zheng-Xu He
      Pages 219-222
  4. Helicity, Linkage, and Flow Topology

    1. Front Matter
      Pages 223-223
    2. R. L. Ricca, H. K. Moffatt
      Pages 225-236
    3. N. W. Evans, M. A. Berger
      Pages 237-248
    4. Peter Akhmet’ev, Alexander Ruzmaikin
      Pages 249-264
    5. Viktor L. Ginzburg, Boris Khesin
      Pages 265-272
  5. The Euler Equations: Extremal Properties and Finite Time Singularities

  6. Vortex Interactions and the Structure of Turbulence

    1. Front Matter
      Pages 351-351
    2. David G. Dritschel
      Pages 353-362
    3. Oluş N. Boratav, Richard B. Pelz, Norman J. Zabusky
      Pages 363-376
    4. Y. Kimura
      Pages 401-413
    5. G. M. Zaslavsky, A. A. Chernikov, A. A. Praskovsky, M. Yu. Karyakin, D. A. Usikov
      Pages 443-461
    6. D. Lavallée, S. Lovejoy, D. Schertzer, F. Schmitt
      Pages 463-478
  7. Chaos, Instability, and Dynamo Theory

    1. Front Matter
      Pages 479-479
    2. G. M. Zaslavsky
      Pages 481-491
    3. K. Bajer, H. K. Moffatt
      Pages 517-534
    4. Susan Friedlander, Misha M. Vishik
      Pages 535-549
    5. Alexander Lifschitz, Eliezer Hameiri
      Pages 551-561
  8. Back Matter
    Pages 599-606

About this book


This volume contains papers arising out of the program of the Institute for Theoretical Physics (ITP) of the University of California at Santa Bar­ bara, August-December 1991, on the subject "Topological Fluid Dynamics". The first group of papers cover the lectures on Knot Theory, Relaxation un­ der Topological Constraints, Kinematics of Stretching, and Fast Dynamo Theory presented at the initial Pedagogical Workshop of the program. The remaining papers were presented at the subsequent NATO Advanced Re­ search Workshop or were written during the course of the program. We wish to acknowledge the support of the NATO Science Committee in making this workshop possible. The scope of "Topological Fluid Dynamics" was defined by an earlier Symposium of the International Union of Theoretical and Applied Mechan­ ics (IUTAM) held in Cambridge, England in August, 1989, the Proceedings of which were published (Eds. H.K. Moffatt and A. Tsinober) by Cambridge University Press in 1990. The proposal to hold an ITP program on this sub­ ject emerged from that Symposium, and we are grateful to John Greene and Charlie Kennel at whose encouragement the original proposal was formu­ lated. Topological fluid dynamics covers a range of problems, particularly those involving vortex tubes and/or magnetic flux tubes in nearly ideal fluids, for which topological structures can be identified and to some extent quantified.


Fractal Plasma Volume fluid dynamics magnetohydrodynamics

Editors and affiliations

  • H. K. Moffatt
    • 1
  • G. M. Zaslavsky
    • 2
  • P. Comte
    • 3
  • M. Tabor
    • 4
  1. 1.Department of Applied Mathematics and Theoretical PhysicsUniversity of CambridgeCambridgeUK
  2. 2.Courant Institute of Mathematical SciencesNew York UniversityNew YorkUSA
  3. 3.Institut de Mécanique de GrenobleInstitut National Polytechnique de GrenobleGrenobleFrance
  4. 4.Department of MathematicsUniversity of ArizonaTucsonUSA

Bibliographic information

  • DOI
  • Copyright Information Springer Science+Business Media B.V. 1992
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-4187-6
  • Online ISBN 978-94-017-3550-6
  • Series Print ISSN 0168-132X
  • Buy this book on publisher's site