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arXiv · 2411.14587

Internal waves in a 2D subcritical channel

Zhenhao Li·Jian Wang·Jared Wunsch
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Abstract

We analyze the scattering of linear internal waves in a two dimensional channel with subcritical bottom topography. We construct the scattering matrix for the internal wave problem in a channel with straight ends, mapping incoming data to outgoing data; this operator turns out to differ by a smoothing operator from the pullback by the ``bounce map'' for boundary data obtained by ray-tracing. As a consequence we obtain unique solvability of the inhomogeneous stationary scattering problem subject to an appropriate outgoing radiation condition.

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Zhenhao Li, Jian Wang, Jared Wunsch. 2024-11-21. Internal waves in a 2D subcritical channel. https://arxiv.org/abs/2411.14587

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