Includes bibliographical references.

Growing up with asymptotics / M. Van Dyke -- Instabilities and vortex patterns in circular Couette flow with axial density stratification / E.J. Hopfinger, B.M. Boubnov and E.B. Gledzer -- Vortices subjected to non-axisymmetric strain : unsteady asymptotic evolution / H.K. Moffatt -- Some contributions to asymptotic theory for turbulent shear flows / K. Gersten -- Turbulent entrance flow in a channel : an asymptotic approach / H. Herwig and M. Voigt -- An efficient wave interaction mechanism within a turbulent boundary layer / S. Ortiz and E. Deriat -- Bifurcations of capillary-gravity interfacial waves / F. Dias -- The effect of a low-frequency modulation on some condimension 2 bifurcations / M.N. Ouarzazi and P.A. Bois -- Finite amplitude waves in a boundary layer flow over compliant walls / M. Rossi and U. Ehrenstein -- Recent developments in the theory of the non-linear stability of high Reynolds number flows / A.G. Walton -- Weakly non-linear instability of the laminar boundary layer calculated by a parabolic system of equations / Ch. Airiau and G. Casalis -- Applying a condition of observability to constitutive equations of laminar motion / L. Brun -- Hysteresis and interaction of standing waves with Faraday excitation / A.D.D. Craik and J.G.M. Armitage -- About the radiation diagram of an underwater acoustic source in the presence of gravity waves / D. Euvrard -- Finite-amplitude, pulsed, ultrasonic beams / F. Coulouvrat and K.E. Frøysa -- Long-waves on thin viscous liquid film : derivation of model equations / R.K. Zeytounian -- On global existence theorems for the initial-boundary-value problem for the Boltzmann equation / C. Cercignani -- Diffusion approximation and Arnold's "Cat Map" / F. Golse -- Second order analysis of the inner shock structure / J.M. Reese [and others] -- Transient behaviour of a gaseous cavity attached to a projectile in a two-phase flow / A. Dyment -- From the analytical theory to hypersonic aircraft design / A. Merlen -- Upstream influence in mixed convection at small Richardson number on triple, double and single deck scales / P.Y. Lagrée -- Asymptotic modelling for separating boundary layers / J. Mauss -- Going on with asymptotics / J.P. Guiraud.

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.

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