Singularities in Fluids, Plasmas and Optics

  • Russel E. Caflisch
  • George C. Papanicolaou

Part of the NATO ASI Series book series (ASIC, volume 404)

Table of contents

  1. Front Matter
    Pages i-x
  2. Singularities in Fluids

    1. Greg Baker, Saleh Tanveer
      Pages 1-10
    2. J. Thomas Beale, Thomas Y. Hou, John S. Lowengrub
      Pages 11-38
    3. M. E. Brachet, M. Meneguzzi, A. Vincent, H. Politano, P. L. Sulem
      Pages 39-51
    4. Russel E. Caflisch, Peter Smereka
      Pages 53-64
    5. Raymond E. Goldstein, Dean M. Petrich
      Pages 93-109
    6. R. M. Kerr
      Pages 131-135
    7. N. Papanicolaou
      Pages 151-158
    8. Alain Pumir, Eric D. Siggia
      Pages 159-166
    9. Michael J. Shelley, Raymond E. Goldstein, Adriana I. Pesci
      Pages 167-188
  3. Singularities in Optics and Plasmas

    1. A. Bhattacharjee
      Pages 189-195
    2. V. Flambaum, E. Kuznetsov
      Pages 197-203
    3. V. M. Malkin, V. N. Khudik
      Pages 213-219
    4. Demetrios T. Papageorgiou, George C. Papanicolaou, Yiorgos S. Smyrlis
      Pages 255-263
    5. Harvey A. Rose, D. F. DuBois
      Pages 281-299
    6. V. F. Shvets, N. E. Kosmatov, B. J. LeMesurier
      Pages 309-316
    7. V. F. Shvets, N. E. Kosmatov, B. J. LeMesurier
      Pages 317-321
    8. C. O. Weiss, K. Staliunas, C. P. Smith, G. Slekys, M. F. H. Tarroja
      Pages 333-348

About this book


Singularities in Fluids, Plasmas and Optics, which contains the proceedings of a NATO Workshop held in Heraklion, Greece, in July 1992, provides a survey of the state of the art in the analysis and computation of singularities in physical problems drawn from fluid mechanics, plasma physics and nonlinear optics. The singularities include curvature singularities on fluid interfaces, the onset of turbulence in 3-D inviscid flows, focusing singularities for laser beams, and magnetic reconnection. The highlights of the book include the nonlinear Schrödinger equation for describing laser beam focusing, the method of complex variables for the analysis and computation of singularities on fluid interfaces, and studies of singularities for the 3-D Euler equations. The book is suitable for graduate students and researchers in these areas.


Fluid mechanics Laser PES Profil Tracking convection mechanics optics porous media

Editors and affiliations

  • Russel E. Caflisch
    • 1
  • George C. Papanicolaou
    • 2
  1. 1.Department of MathematicsUniversity of California at Los AngelesLos AngelesUSA
  2. 2.Courant Institute of Mathematical SciencesNew York UniversityNew YorkUSA

Bibliographic information

  • DOI
  • Copyright Information Kluwer Academic Publishers 1993
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-4894-1
  • Online ISBN 978-94-011-2022-7
  • Series Print ISSN 1389-2185
  • Buy this book on publisher's site