Wave Asymptotics

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P. A. Martin, G. R. Wickham
Cambridge University Press, May 29, 1992 - Mathematics - 244 pages
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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 outline the development of fluid dynamical topics from asymptotic methods in anisotropic wave systems, surface wave theory, biological models, and differential equations, through to slender body theory, water wave theory propellor-generated wakes.
  

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Contents

Uniform asymp
24
Converging factors
54
Matched asymptotic methods in surface
69
Approximation of freesurface
107
On farfield approximations to the wave pattern
136
An analytical theory of propeller generated
160
Analytical aspects of slender body theory
184
bodies
202
Some unsolved and unfinished problems in
220
Copyright

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Page 227 - Ursell, F.: The effect of a fixed vertical barrier on surface waves in deep water.
Page 246 - INTEGRALS WITH A LARGE PARAMETER AND SEVERAL NEARLY COINCIDENT SADDLE POINTS THE CONTINUATION OF UNIFORMLY ASYMPTOTIC EXPANSIONS. PROC. CAMBRIDGE PHILOS. SOC. 76. 211-231 (1974) 282.41011 291.92082
Page 246 - On the null-field equations for the exterior problems of acoustics,
Page 246 - A problem connected with the oblique incidence of surface waves on an immersed cylinder. J. Inst.

About the author (1992)

The author is a Professor in the Department of Mathematical and Computer Sciences, Colorado School of Mines, USA. Before moving there in 1999, he was a Reader in the Department of Mathematics, University of Manchester. He has been an Executive Editor of the Quarterly Journal of Mechanics and Applied Mathematics for 15 years. He is an Associate Editor of the SIAM Journal on Applied Mathematics and of the Journal of Integral Equations and Applications, and he is a member of the Editorial Board of the Proceedings of the Royal Society A. He has published about 100 papers in refereed journals and over 40 papers in conference proceedings and edited books.

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