Abstract
The problems of obliquely incident surface water waves against a vertical cliff have been handled in both the cases of water of infinite as well as finite depth by straight-forward uses of appropriate Havelock-type expansion theorems. The logarithmic singularity along the shore-line has been incorporated in a direct manner, by suitably representing the Dirac’s delta function.
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Chakrabarti A,Obliquely incident water waves against a vertical cliff, Appl. Math. Lett. 5 (1992) 13–17
Friedman B, Principles and Techniques of Applied Mathematics (1956) (New York: John Wiley and Sons Inc.) 93
Faulkner T R,The diffraction of an obliquely incident surface water wave by a vertical barrier of finite depth, Proc. Cambridge Philos. Soc. 62 (1966) 829–838
Jervis J R and Taylor B S,The Scattering of surface water waves by a vertical plane barrier, Proc. Cambridge Philos. Soc. 66 (1969) 417–422
Mandal B N and Kundu P K,Incoming water waves against a vertical cliff, Appl. Math. Lett. 3 (1990) 33–36
Stoker J J, Water Waves (1957) (New York: Interscience)
Stoker J J,Surface waves in water of variable depth, Quart. Appl. Math. 5 (1947) 1–54
Ursell F,The effect of a fixed vertical barrier on surface waves in deep water, Proc. Cambridge. Philos. Soc. 43 (1947) 374–382
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Chakrabarti, A., Sahoo, T. On the incoming water waves against a vertical cliff. Proc. Indian Acad. Sci. (Math. Sci.) 107, 89–93 (1997). https://doi.org/10.1007/BF02840476
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DOI: https://doi.org/10.1007/BF02840476