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Forced capillary-gravity waves in a circular basin |
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| Authors: | M.C. Shen S.M. Sun D.Y. Hsieh |
| Affiliation: | Department of Mathematics, University of Wisconsin, Madison, WI 53706, USA Department of Mathematics, The Hong Kong University of Science & Technology, Clear Water Bay, Hong Kong |
| Abstract: | A linear theory is developed to study the forced capillary-gravity waves generated on water in a circular basin by the horizontal oscillations of its side wall. A Green's function method is used to construct a solution of the linearized equations subject to an edge condition at the contact line. The problem is reformulated in terms of an integral equation on the equilibrium free surface, and a uniqueness result is obtained by invoking the Fredholm's alternatives. |
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