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Article Dans Une Revue Journal of Fluid Mechanics Année : 2022

EXPLICIT DIRICHLET-NEUMANN OPERATOR FOR WATER WAVES

Résumé

An explicit expression for the Dirichlet-Neumann operator for surface water waves is presented. For non-overturning waves, but without assuming small amplitudes, the formula is first derived in two dimensions, subsequently extrapolated in higher dimensions and with a moving bottom. Although described here for water waves, this elementary approach could be adapted to many other problems having similar mathematical formulations.
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Dates et versions

hal-03776600 , version 1 (13-09-2022)

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Didier Clamond. EXPLICIT DIRICHLET-NEUMANN OPERATOR FOR WATER WAVES. Journal of Fluid Mechanics, 2022, 950, pp.A33. ⟨hal-03776600⟩
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