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Inviscid Fluid Flows

  • Book
  • © 1983

Overview

Authors:
  1. Hilary Ockendon

    1. Somerville College, Oxford, England

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    You can also search for this author in PubMed   Google Scholar

  2. Alan B. Tayler

    1. Mathematical Institute, Oxford, England

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Applied Mathematical Sciences (AMS, volume 43)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-viii
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  2. Mathematical Models of Fluid Flows

    • Hilary Ockendon, Alan B. Tayler
    Pages 1-22

  3. Free Boundary Problems

    • Hilary Ockendon, Alan B. Tayler
    Pages 23-42

  4. Nonlinear Surface Waves

    • Hilary Ockendon, Alan B. Tayler
    Pages 43-60

  5. Compressible Flow

    • Hilary Ockendon, Alan B. Tayler
    Pages 61-78

  6. Shock Waves

    • Hilary Ockendon, Alan B. Tayler
    Pages 79-98

  7. Approximate Solutions for Compressible Flow

    • Hilary Ockendon, Alan B. Tayler
    Pages 99-116

  8. Complex Variable Methods

    • Hilary Ockendon, Alan B. Tayler
    Pages 117-131

  9. Back Matter

    Pages 132-147
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Keywords

About this book

Applied Mathematics is the art of constructing mathematical models of observed phenomena so that both qualitative and quantitative results can be predicted by the use of analytical and numerical methods. Theoretical Mechanics is concerned with the study of those phenomena which can be ob­ served in everyday life in the physical world around us. It is often characterised by the macroscopic approach which allows the concept of an element or particle of material, small compared to the dimensions of the phenomena being modelled, yet large compared to the molecular size of the material. Then atomic and molecular phenomena appear only as quantities averaged over many molecules. It is therefore natural that the mathemati­ cal models derived are in terms of functions which are continuous and well behaved, and that the analytical and numerical methods required for their development are strongly dependent on the theory of partial and ordinary differential equations. Much pure research in Mathematics has been stimu­ lated by the need to develop models of real situations, and experimental observations have often led to important conjectures and theorems in Analysis. It is therefore important to present a careful account of both the physical or experimental observations and the mathematical analysis used. The authors believe that Fluid Mechanics offers a rich field for il­ lustrating the art of mathematical modelling, the power of mathematical analysis and the stimulus of applications to readily observed phenomena.

Authors and Affiliations

  • Somerville College, Oxford, England

    Hilary Ockendon

  • Mathematical Institute, Oxford, England

    Alan B. Tayler

Bibliographic Information

  • Book Title: Inviscid Fluid Flows

  • Authors: Hilary Ockendon, Alan B. Tayler

  • Series Title: Applied Mathematical Sciences

  • DOI: https://doi.org/10.1007/978-1-4612-1138-9

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1983

  • Softcover ISBN: 978-0-387-90824-3Published: 14 March 1983

  • eBook ISBN: 978-1-4612-1138-9Published: 21 November 2013

  • Series ISSN: 0066-5452

  • Series E-ISSN: 2196-968X

  • Edition Number: 1

  • Number of Pages: VIII, 147

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Fluid- and Aerodynamics, Theoretical, Mathematical and Computational Physics

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