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Energy balance for undular bores. (English. French summary) Zbl 1300.76010

Summary: The energy loss in the shallow-water theory for an undular bore is thought to be due to oscillations that carry away the energy lost at the front of the bore. Using a higher-order dispersive model equation, this expectation is confirmed through a quantitative study which shows that there is no energy loss if dispersion is accounted for.

MSC:

76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
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