Role of weakly singular integral equations in surface water wave scattering
نویسندگان
چکیده
A class of boundary value problems arising in the study of scattering of surface water waves by barriers, under the assumption of the linearized theory, is reduced to singular integral equations of the first kind, involving only ”weakly singular” kernels. The unified treatment presented here is observed to be most suitable to handle the class of scattering problems under consideration and it is shown that reduction of these scattering problems to either the Cauchy type ”strongly singular” integral equation or the so called ”hyper singular” integral equations can be avoided altogether.
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