Abstract
The purpose of this paper is to give supplementary remarks on the change in the mean water surface (set-down) in some physical situations. Set-down may occur when the physical system is inhomogeneous in some way, for instance represented by the finiteness of a wave train, by the existence of a steady non-uniform current interacting with initially uniform waves, or by a gradually varying water depth. We consider in some detail the two first of these cases, paying attention to their similarities and differences. Also, in the case of a wave group, emphasis is laid on demonstrating the close relationship that exists between the underlying assumptions and the expressions obtained for velocity potentials and surface elevations.
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