Asymptotic Treatment of Differential Equations

Adelina Georgescu (auth.)0412558602, 9780412558603

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.

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Table of contents :

Content:
Front Matter….Pages i-viii
The basics of asymptotics….Pages 1-53
Perturbation theory….Pages 54-175
Model examples….Pages 176-197
Models of asymptotic approximation of the Navier-Stokes model….Pages 198-232
Asymptotic approximation of the Boltzmann model for small and large mean free path….Pages 233-243
Other models of asymptotic approximation….Pages 244-252
Back Matter….Pages 253-268