Asymptotic Methods in Fluid Mechanics: Survey and Recent Advances
Invited Lecturers
- Roger Grimshaw (Loughborough University, UK)
- 6 lectures on: "Exponential Asymptotics with respect to generalized solitons and embedded solitary waves". These lectures will describe how to find exponentially small terms often hidden in conventional asymptotic expansions, using as the main tool complex variable methods and Borel summation. The techniques will be developed in the context of weakly nonlocal solitary waves.
- Rupert Klein (Freie Universitaet, Berlin, Germany)
- 6 lectures on: “Multiple Scales Methods in Meteorology”. This lecture series will provide a detailed introduction to a unified framework for meteorological modeling based on multiple scales asymptotics.
- Pierre-Yves Lagrée (CNRS, Université Paris 6, France)
- 4 lectures on: “Interacting Boundary Layers”. The objective of this curse is to present the Interactive Boundary Layers Theory and its link with Triple Deck. Examples of retroaction of the boundary layer on the ideal fluid will be presented in various flow regimes.
- Anatoly Ruban (Imperial College, London, UK)
- 6 lectures on: “Theory of Separated Flows”. In this part of the course main properties and “paradoxes” of the flow separation will be discussed first. Then the asymptotic theory of separated flows will be presented.
- Herbert Steinrück (Vienna University of Technology, Austria)
- 4 lectures on: “Introduction to Asymptotic Methods”. An introduction to the method of matched asymptotic expansion will be given and applied to turbulence asymptotics.
- Michael Ward (University of British Columbia, Canada)
- 4 lectures on: "Hybrid Asymptotic-Numerical Methods for the Solution of Singular Perturbation Problems in Perforated Domains”. In this lecture hybrid numerical-asymptotic methods which have been developed for a large class of reaction diffusion equations will be presented and applied to the Stokes flow around a cylinder.