Springer, 2010, 428 Pages, ISBN: 3709104076
A survey of asymptotic methods in fluid mechanics and applications is given including high Reynolds number flows (interacting boundary layers, marginal separation, turbulence asymptotics) and low Reynolds number flows as an example of hybrid methods, waves as an example of exponential asymptotics and multiple scales methods in meteorology.
Introduction to Matched Asymptotic Expansions
Asymptotic Methods for PDE Problems in Fluid Mechanics and Related Systems with Strong Localized Perturbations in Two Dimensional Domains
Exponential Asymptotics and Generalized Solitary Waves by R. Grimshaw
Exponential Asymptotics and Stokes Line Smoothing for Generalized Solitary Waves
Multiple Scales Methods in Meteorology
Multiple Scales Analysis of the Turbulent Hydraulic Jump
Modern Aspects of High-Reynolds-Number Asymptotics of Turbulent Boundary Layers
Interactive Boundary Layers
Interaction Mechanisms in Mixed Convection Flow past a Horizontal Plate
Asymptotic Theory of Separated Flows
Weakly 3D Effects Upstream a Surface Mounted Obstacle in Transonic Flows
Self Similar Blow-up Structures in Unsteady Marginally Separated Flows