Abstract
The two dimensional problem of the capillary-gravity wavemaker for an incompressible inviscid fluid is investigated. The problem is treated as an initial-boundary value problem and the cases of uniform finite depth and infinite depth are considered. A boundary condition is imposed at the liquid-solid intersection which ensures uniqueness for the problem. The solutions for the velocity potential and free surface displacement are then found as the asymptotic solution to the initial-boundary value problem.
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