London: Springer, 1995. — 137 p.
The main definitions and results of asymptotic analysis and thetheory 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.
The basics of asymptotics
Perturbation theory
Model examples
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