The main definitions and results of asymptotic analysis and the theory of regular and singular perturbations are summarized in this book. They are applied to the asymptotic study of several mathematical models from mechanics, fluid dynamics, statistical mechanics, meteorology and elasticity. Due to the generality of presentation this applications-oriented book is suitable for the solving of differential equations from any other field of interest.
Table of Contents
The basics of asymptotics
Models of asymptotic approximation of the Navier-Stokes model
Asymptotic approximation of the Boltzmann model for small and large mean free path
Other models of asymptotic approximation
"The presentation of the results is clearly tailored for applied mathematicians or engineers. The book will be certainly of interest for this audience and will also be useful for preparing a lecture."
-Zentralblad fur Mathematik