Wave asymptotics : the proceedings of the meeting to mark the retirement of Professor Fritz Ursell from the Beyer Chair of Applied Mathematics in the University of Manchester

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Wave asymptotics : the proceedings of the meeting to mark the retirement of Professor Fritz Ursell from the Beyer Chair of Applied Mathematics in the University of Manchester

edited by P.A. Martin, G.R. Wickham

Cambridge University Press, 1992

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"To mark his retirement, a two-day meeting was held in Manchester in March, 1990" -- Pref

Includes bibliographical references

Description and Table of Contents

Description

The occasion of Professor Fritz Ursell's retirement was marked by a two-day meeting consisting of invited talks by some of the most distinguished researchers in the various topics of fluid mechanics and asymptotics studied by Professor Ursell throughout his long and distinguished career. The papers collected here therefore outline the development of these topics from asymptotic methods in anisotropic wave systems, surface wave theory, biological models and differential equations, through to slender body theory, water wave theory and propeller-generated wakes. These edited papers will be valuable reading for all those interested in water waves and asymptotic techniques.

Table of Contents

  • 1. Asymptotic behaviour of anisotropic wave systems stimulated by oscillating sources James Lighthill
  • 2. Uniform asymptotics of oscillating integrals J. N. L. Connor
  • 3. Approximations and asymptotics for differential equations R. E. Meyer
  • 4. Converging factors F. W. J. Oliver
  • 5. Matched asymptotic methods in surface wave theory F. G. Leppington
  • 6. Asymptotics in some biological models V. C. L. Hutson
  • 7. The approximation of free-surface Green functions J. N. Newman
  • 8. On far-field approximations for the wave pattern around a ship at constant speed K. Eggers
  • 9. An analytical theory of propellor-generated effective wake J. P. Breslin
  • 10. Analytic aspects of slender body theory E. O. Tuck
  • 11. Vertical barriers, sloping beaches and submerged bodies D. V. Evans
  • 12. Some unsolved problems in water wave theory F. J. Ursell.

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