Wave Asymptotics

This volume contains papers by distinguished researchers in fluid mechanics and asymptotics. The papers collected here outline the development of these topics.

P. A. Martin (Edited by), G. R. Wickham (Edited by)

9780521414142, Cambridge University Press

Hardback, published 29 May 1992

260 pages
23.6 x 15.6 x 1.9 cm, 0.48 kg

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.

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.

Subject Areas: Applied mathematics [PBW]