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Effective versus individual waves for water wave and thin plate problems

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Department of Mathematics at Karlsruhe Institute of Technology (KIT)

Abstract

Numerical results are presented to show that, for small-amplitude roughness, individual wave elevations attenuate at a far slower rate than the corresponding e ective wave elevation for both ocean waves travelling over a rough seabed in intermediate depth and waves in a thin plate in vacuo. Use of the e ective wave elevation, there- fore, results in misleading predictions of attenu- ation.

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The 12th International Conference on Mathematical and Numerical Aspects of Wave Propagation held at the Department of Mathematics at Karlsruhe Institute of Technology, Karlsruhe, Germany, 2015-07-20 to 2015-07-24, published in: proceedings of the 12th International Conference on Mathematical and Numerical Aspects of Wave Propagation

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NOTICE: this is the author’s version of a work that was accepted for publication. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in (see Citation). The original publication is available at (see Publisher's Version).