Trapped Modes around Freely Floating Bodies in Two-layer Fluids
نویسندگان
چکیده
We consider the coupled system modeling the interaction of time-harmonic progressive water-waves with an array of three-dimensional freely floating obstacles in a two-layer fluid. Presenting a variational and operator formulation for the problem and a condition guaranteeing the existence of trapped waves, we give a number of examples of floating structures supporting trapped waves. We also study how the problem parameters (density ratio, obstacle dimensions, layer depths and radian frequency) influence the trapping condition.
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