Asymptotic Treatment of Differential Equations: 1st Edition (Hardback) book cover

Asymptotic Treatment of Differential Equations

1st Edition

By A. Georgescu

Chapman and Hall/CRC

272 pages

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Hardback: 9780412558603
pub: 1995-05-15
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Description

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.

Reviews

"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

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

About the Series

Applied Mathematics

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Subject Categories

BISAC Subject Codes/Headings:
MAT003000
MATHEMATICS / Applied
MAT007000
MATHEMATICS / Differential Equations