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Asymptotic Modelling in Fluid Mechanics

Proceedings of a Symposium in Honour of Professor Jean-Pierre Guiraud Held at the Université Pierre et Marie Curie, Paris, France, 20–22 April 1994

  • Conference proceedings
  • © 1995

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Editors:
  1. Pierre-Antoine Bois
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  2. Emmanuel Dériat
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  3. Renée Gatignol
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  4. Alain Rigolot
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Part of the book series: Lecture Notes in Physics (LNP, volume 442)

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Table of contents (24 papers)

  1. Front Matter

    Download chapter PDF

  2. Growing up with asymptotics

    • Milton Van Dyke
    Pages 1-10

  3. Instabilities and vortex patterns in circular Couette flow with axial density stratification

    • E. J. Hopfinger, B. M. Boubnov, E. B. Gledzer
    Pages 11-27

  4. Vortices subjected to non-axisymmetric strain — unsteady asymptotic evolution

    • H.K. Moffatt
    Pages 29-35

  5. Some contributions to asymptotic theory for turbulent shear flows

    • Klaus Gersten
    Pages 37-49

  6. Turbulent entrance flow in a channel: An asymptotic approach

    • Heinz Herwig, Marco Voigt
    Pages 51-58

  7. An efficient wave interaction mechanism within a turbulent boundary layer

    • Sabine Ortiz, Emmanuel Deriat
    Pages 59-66

  8. Bifurcations of capillary-gravity interfacial waves

    • Frédéric Dias
    Pages 67-76

  9. The effect of a low-frequency modulation on some codimension 2 bifurcations

    • M. N. Ouarzazi, P. A. Bois
    Pages 77-84

  10. Finite amplitude waves in a boundary layer flow over compliant walls

    • Maurice Rossi, Uwe Ehrenstein
    Pages 85-92

  11. Recent developments in the theory of the non-linear stability of high Reynolds number flows

    • Andrew G. Walton
    Pages 93-98

  12. Weakly non linear instability of the laminar boundary layer calculated by a parabolic system of equations

    • Ch. Airiau, G. Casalis
    Pages 99-106

  13. Applying a condition of observability to constitutive equations of laminar motion

    • Louis Brun
    Pages 107-114

  14. Hysteresis and interaction of standing waves with Faraday excitation

    • A. D. D. Craik, J. G. M. Armitage
    Pages 115-128

  15. About the radiation diagram of an underwater acoustic source in the presence of gravity waves

    • Daniel Euvrard
    Pages 129-144

  16. Finite-amplitude, pulsed, ultrasonic beams

    • François Coulouvrat, Kjell-Eivind Frøysa
    Pages 143-152

  17. Long-waves on thin viscous liquid film derivation of model equations

    • Radyadour Kh. Zeytounian
    Pages 153-162

  18. On global existence theorems for the initial-boundary value problem for the Boltzmann equation

    • Carlo Cercignani
    Pages 165-178

  19. Diffusion approximation and Arnold's “Cat Map”

    • François Golse
    Pages 179-190

  20. Second order analysis of the inner shock structure

    • J. M. Reese, L. C. Woods, F. J. P. Thivet, S. M. Candel
    Pages 191-204
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Keywords

About this book

The purpose of this book is to gather contributions from scientists in fluid mechanics who use asymptotic methods to cope with difficult problems. The selected topics are as follows: vorticity and turbulence, hydrodynamic instability, non-linear waves, aerodynamics and rarefied gas flows. The last chapter of the book broadens the perspective with an overview of other issues pertaining to asymptotics, presented in a didactic way.

Reviews

"..the presentation is excellent, the figures and diagrams are clear, and the price is affordable. However theoretical and specialized, this book may be of interest to researchers and to master Ph.D. students in mechanical fields." - Physicalia

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