Asymptotic Modelling in Fluid Mechanics

1. Front Matter

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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

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.

• convection
• dynamics
• fluid mechanics
• stability
• turbulence
• vortices
• waves
• fluid- and aerodynamics

"..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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