Tubes, Sheets and Singularities in Fluid Dynamics

Proceedings of the NATO RAW held in Zakopane, Poland, 2–7 September 2001, Sponsored as an IUTAM Symposium by the International Union of Theoretical and Applied Mechanics

  • K. Bajer
  • H. K. Moffatt
Conference proceedings

Part of the Fluid Mechanics and Its Applications book series (FMIA, volume 71)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Vortex Structure, Stability and Evolution

    1. Robert Krasny, Keith Lindsay, Monika Nitsche
      Pages 3-12
    2. Keith Higgins, M. S. Chong, Andrew Ooi
      Pages 13-18
    3. Maurice Rossi, Ivan Delbende, Stéphane Le Dizès
      Pages 19-24
    4. Konrad Bajer, Andrew P. Bassom, Andrew D. Gilbert
      Pages 31-36
    5. Yasuhide Fukumoto, Yuji Hattori
      Pages 37-48
    6. Valery Okulov, Jens N. SØrensen, Lars K. Voigt
      Pages 55-60
    7. Xilin Xie, Weiwei Ma, Huiliang Zhou
      Pages 61-66
  3. Singular Vortex Filaments

    1. Carlo F. Barenghi, David C. Samuels, Renzo L. Ricca
      Pages 69-74
    2. Tatsuyuki Nakaki
      Pages 75-80
    3. Cezary Sliwa, Iwo Bialynicki-Birula, Zofia Bialynicka-Birula, Tomasz Mloduchowski
      Pages 99-104
  4. Magnetic Structure, Topology and Reconnection

    1. Eric Priest
      Pages 115-124
    2. H. K. Moffatt, R.E. Hunt
      Pages 125-132
    3. Gunnar Hornig
      Pages 133-138
    4. Zbigniew PeradzyŃSki
      Pages 145-150
    5. Christoph Mayer, Gunnar Hornig
      Pages 151-156
  5. Vortex Structure in Turbulent Flow

  6. Finite-Time Singularity Problems

  7. Stokes Flow and Singular Behaviour Near Boundaries

    1. Maria L. Ekiel-JeŻewska, Nicolas Lecoq, René Anthore, François Bostel, François Feuillebois
      Pages 343-348
    2. B. Cichocki, P. Szymczak, F. Feuillebois
      Pages 349-354
    3. Vladimir S. Malyuga, Alexandre M. Gomilko
      Pages 355-360
  8. Back Matter
    Pages 361-379

About these proceedings


Modern experiments and numerical simulations show that the long-known coherent structures in turbulence take the form of elongated vortex tubes and vortex sheets. The evolution of vortex tubes may result in spiral structures which can be associated with the spectral power laws of turbulence. The mutual stretching of skewed vortex tubes, when they are close to each other, causes rapid growth of vorticity. Whether this process may or may not lead to a finite-time singularity is one of the famous open problems of fluid dynamics.

This book contains the proceedings of the NATO ARW and IUTAM Symposium held in Zakopane, Poland, 2-7 September 2001. The papers presented, carefully reviewed by the International Scientific Committee, cover various aspects of the dynamics of vortex tubes and sheets and of their analogues in magnetohydrodynamics and in quantum turbulence. The book should be a useful reference for all researchers and students of modern fluid dynamics.


Dissipation Navier-Stokes equation dynamics fluid dynamics magnetohydrodynamics mechanics mixing simulation stability turbulence turbulent flow vortices waves

Editors and affiliations

  • K. Bajer
    • 1
  • H. K. Moffatt
    • 2
  1. 1.Institute of GeophysicsWarsaw UniversityWarsawPoland
  2. 2.Department of Applied Mathematics and Theoretical PhysicsUniversity of CambridgeCambridgeUK

Bibliographic information

  • DOI
  • Copyright Information Kluwer Academic Publishers 2002
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4020-0980-8
  • Online ISBN 978-0-306-48420-9
  • Series Print ISSN 0926-5112
  • Buy this book on publisher's site