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Explicit Dirichlet–Neumann operator for water waves
Published online by Cambridge University Press: 24 October 2022
Abstract
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, and subsequently extrapolated to 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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- JFM Papers
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- © The Author(s), 2022. Published by Cambridge University Press
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