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Mathematical modeling of surface gravity waves in a reservoir of narrow canyon type. (Russian) Zbl 1324.76011

Summary: We formulate and solve analytically an initial-boundary value problem on the surface of a gravitational wave motion for a narrow canyon type reservoir. The surface waves appear when an avalanche flow reaches a filled reservoir. We obtain formulas and an algorithm for the numerical calculation of the amplitude of the surface waves.

MSC:

76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
35Q35 PDEs in connection with fluid mechanics
86A05 Hydrology, hydrography, oceanography
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