Volume 5, Issue 4
Trapped Modes Around Freely Floating Bodies in Two-Layer Fluids.

Zichen Deng

Int. J. Numer. Anal. Mod. B,5 (2014), pp. 400-413

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  • Abstract

We consider the coupled system modeling the interaction of time-harmonic progres- sive water-waves with an array of three-dimensional freely oating obstacles in a two-layer uid. 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 oating structures supporting trapped waves. We also study how the problem parameters (density ratio, obstacle dimensions, layer depths and radian frequency) in uence the trapping condition.

  • History

Published online: 2014-05

  • AMS Subject Headings

35Q35, 76B15

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