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Tsunami generation
Published online by Cambridge University Press: 29 March 2006
Abstract
The problems of tsunami generation are treated by standard integral-transform and modified stationary-phase methods to yield asymptotic approximations to the surface disturbances. The effects of asymmetry are considered in a one-dimensional ocean. Series representations are used to produce sets of normal-mode oscillations in a two-dimensional ocean, and the magnitudes of the wave front and wave train are discussed in relation to the asymmetry of the generating region.
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- © 1973 Cambridge University Press
References
Garrier, G. F.
1971
The dynamics of tsunamis.
Mathematical Problems in the Geophysical Sciences. Lectures in Applied Mathematics, vol. 13,
pp.
157–187.
Am. Math. Soc.
Copson, E. T.
1965
Asymptotic Expansions.
Cambridge University Press.
Erdélyi, A. W., Magnus, W., Oberhettinger, F. & Tricomi, F. C.
1954
Tables of Integral Transforms, vol. 1.
McGraw-Hill.
Hatori, T.
1970
Dimensions and geographic distribution of tsunami sources near Japan. In
Tsunamis in the Pacific Ocean (ed. W. M. Adams),
pp.
69–84.
Honolulu:
East-West Press.
Iida, K., Cox, D. C. & Pararas-Carayannis, G.
1967
Preliminary catalogue of tsunamis occurring in the Pacific Ocean.
Hawaii Inst. Geophys., Data Rep. 5, H1G-67–10.Google Scholar
Kajiura, K.
1963
The leading wave of a tsunami
Bull. Earthq. Res. Inst. Tokyo,
41,
535–571.Google Scholar
Sansone, G.
1959
Orthogonal Functions.
Interscience.
Titchmarsh, E. C.
1937
Introduction to the Theory of Fourier Integrals.
Oxford University Press.
Van Den Driessche, P. & Braddock, R. D.
1972a
On the elliptic generating region of a tsunami
J. Mar. Res.
30,
217–226.Google Scholar
Van Den Driessche, P. & Braddock, R. D.
1972b
Asymptotic evaluation of integrals occurring in linear wave theory
Bull. Austr. Math. Soc.
7,
121–130.Google Scholar
Van Dorn, W. G.
1965
Tsunamis. In
Advances in Hydroscience, vol. 2,
pp.
1–48.
Academic.
Webb, L. M.
1962
Theory of waves generated by surface and sea bed disturbances - nature of tsunamis (ed. B. W. Wilson).
Nat. Engng Sci. Co. Tech. Rep. SN57–2.Google Scholar
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