Reconsidering Hocking's Edge Condition: Solution of the Problem of Forced Capillary-Gravity Waves in a Finite Depth Setting

Abstract

The paper constructs the solution of a forced capillary-gravity waves problem outside a cylindrical wavemaker of finite depth under Hocking's edge condition. After introducing the setting of the problem, it obtains the solution and proves its uniqueness. Possible applications of the result for future researches, including the application of the model to earthquakes, are also discussed at the end.