论文标题

显式Dirichlet-Neumann水浪操作员

Explicit Dirichlet-neumann Operator For Water Waves

论文作者

Clamond, Didier

论文摘要

提出了Dirichlet-Neumann操作员用于地表水波的明确表达。对于不经过弯曲的波,但没有假设幅度较小,该公式首先是在二维中得出的,随后在较高的维度和移动的底部推断出来。尽管此处用于水波,但这种基本方法可以适应具有类似数学表述的许多其他问题。

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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