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Energy of tsunami waves generated by bottom motion

Abstract : In the vast literature on tsunami research, few articles have been devoted to energy issues. A theoretical investigation on the energy of waves generated by bottom motion is performed here. We start with the full incompressible Euler equations in the presence of a free surface and derive both dispersive and non-dispersive shallow-water equations with an energy equation. It is shown that dispersive effects only appear at higher order in the energy budget. Then we solve the Cauchy-Poisson problem of tsunami generation for the linearized water wave equations. Exchanges between potential and kinetic energies are clearly revealed.
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Submitted on : Wednesday, October 22, 2008 - 8:03:43 PM
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Denys Dutykh, Frédéric Dias. Energy of tsunami waves generated by bottom motion. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Royal Society, The, 2009, 465 (2103), pp.725-744. ⟨10.1098/rspa.2008.0332⟩. ⟨hal-00311752v2⟩

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