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A model is proposed whereby the hydrodynamic theory of shallow, capillary surface waves is modified by the inclusion of Newtonian viscosity terms peculiar to the interface. The implications of the theory are evaluated for two special cases: 1. Wave motion of low-frequency and very high-surface viscosity (completely damped motion). 2. Wave motion of moderate to high-frequency and low-surface viscosity (slightly damped motion). In the latter case, the effects of internal viscosity in the substrate are considered.
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F. C. Goodrich (1961) studied this question.
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