arXiv Open Access 2024

Internal waves in a 2D subcritical channel

Zhenhao Li Jian Wang Jared Wunsch

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Abstrak

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.

Topik & Kata Kunci

math.AP math-ph math.CA math.SP

Penulis (3)

Zhenhao Li

Jian Wang

Jared Wunsch

Format Sitasi

APA MLA BibTeX

Li, Z., Wang, J., Wunsch, J. (2024). Internal waves in a 2D subcritical channel. https://arxiv.org/abs/2411.14587

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓