Asymptotic Modelling in Fluid Mechanics: Proceedings of a Symposiym in Honour of Professor Jean-Pierre Guiraud Held at the Université Pierre et Marie Curie, Paris, France, 20–22 April 1994

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. Growing up with asymptotics....Pages 1-10 Instabilities and vortex patterns in circular Couette flow with axial density stratification....Pages 11-27 Vortices subjected to non-axisymmetric strain — unsteady asymptotic evolution....Pages 29-35 Some contributions to asymptotic theory for turbulent shear flows....Pages 37-49 Turbulent entrance flow in a channel: An asymptotic approach....Pages 51-58 An efficient wave interaction mechanism within a turbulent boundary layer....Pages 59-66 Bifurcations of capillary-gravity interfacial waves....Pages 67-76 The effect of a low-frequency modulation on some codimension 2 bifurcations....Pages 77-84 Finite amplitude waves in a boundary layer flow over compliant walls....Pages 85-92 Recent developments in the theory of the non-linear stability of high Reynolds number flows....Pages 93-98 Weakly non linear instability of the laminar boundary layer calculated by a parabolic system of equations....Pages 99-106 Applying a condition of observability to constitutive equations of laminar motion....Pages 107-114 Hysteresis and interaction of standing waves with Faraday excitation....Pages 115-128 About the radiation diagram of an underwater acoustic source in the presence of gravity waves....Pages 129-144 Finite-amplitude, pulsed, ultrasonic beams....Pages 143-152 Long-waves on thin viscous liquid film derivation of model equations....Pages 153-162 On global existence theorems for the initial-boundary value problem for the Boltzmann equation....Pages 165-178 Diffusion approximation and Arnold's “Cat Map”....Pages 179-190 Second order analysis of the inner shock structure....Pages 191-204 Transient behaviour of a gaseous cavity attached to a projectile in a two phase flow....Pages 205-220 From the analytical theory to hypersonic aircraft design....Pages 221-228 Upstream influence in mixed convection at small Richardson number on triple, double and single deck scales....Pages 229-238 Asymptotic modelling for separating boundary layers....Pages 239-254 Going on with asymptotics....Pages 255-307 The purpose of this book is to gather contributions from scientists in fluid mechanics who use asymptotic methods to cope with difficult problems. Topics covered include: vorticity and turbulence, hydrodynamic instability, non-linear waves, aerodynamics and rarefied gas flows.