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.
Up-to-date review of asymptotic methods: matched asymptotic methods, multiple scales methods, exponential asymptotics, hybrid methods Includes theory of flow separation - Includes turbulence asymptotics Covers different fields of fluid mechanics: boundary- layer flows, meteorology, waves, ...
Herbert Steinrück
Exponential asymptotics Fluid mechanics Hybrid methods Matched asymptotic expansions Multiple scales methods partial differential equations fluid- and aerodynamics