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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
Preface 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 References Index
"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
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CHOICE – Outstanding Academic Title – Award Winner
CHOICE – 2018 Outstanding Academic Title – Award Winner
Shingo Research and Professional Publication Award Winner
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