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Erosion of the basin of stability of a floating body as caused by dam breaking. (English) Zbl 0796.76010
Summary: The dam breaking problem in terms of changing water levels behind and ahead of the dam, has been solved in the shallow water model. Here the effect of dam breaking on a symmetric downstream floating body is considered. A forced Duffing equation model, proposed by one of the authors, is used. The analysis has practical implications in terms of how far a marina should be situated from a large dam. Comparison with basin erosion, as caused by a water surface soliton, is instructive.

MSC:
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
76B25 Solitary waves for incompressible inviscid fluids
76E30 Nonlinear effects in hydrodynamic stability
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[1] DOI: 10.1098/rsta.1990.0106 · Zbl 0709.76021 · doi:10.1098/rsta.1990.0106
[2] DOI: 10.1098/rsta.1990.0106 · Zbl 0709.76021 · doi:10.1098/rsta.1990.0106
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