Abstract
The initial-value problem of surface waves generated by a harmonically oscillating porous wave maker immersed in an incompressible fluid of infinite horizontal extent but finite constant depth is prescribed. By the use of generalized functions and asymptotic analyses, it was possible to get both the steady-state solution and the transient solution without the need of imposing a radiation condition. Two limiting cases are also investigated: in the first the fluid is of infinite depth, while in the other the fluid is shallow.
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