Author(s)

A. Chakrabarti

Abstract

Incoming water waves against an overhanging cliff A.Chakrabarti Department of Mathematics, Indian Institute of Science, India Present address: Department of Mathematical Sciences, New Jersey Institute of Technology, USA Abstract A reduction technique is utilized to determine the exact solution to the boundary value problem involving the two-dimensional Laplace equation in an angular region, of vertical angle 45". The associated physical problem is that of determining the effect of an incoming surface water wave, against a overhanging cliff in the form of a rigid plane inclinded at an angle of 45" to the vertical.. It is shown that two distinct classes of solutions are possible. One of these solutions possesses a source-like behaviour at the corner point ( i.e., at the shore-line ) whilst the other is regular at the comer point but involves reflected wave terms. The exact expression for the complex reflection coefficient is determined for the second class of solution. 1 Introduction The mathe

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