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arXiv · 2102.12240

Medium amplitude model for internal waves over large topography variation

Ralph Lteif·Bashar Khorbatly
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Abstract

The purpose of this paper is to present the derivation and mathematical analysis of a new asymptotic model that describes the evolution of medium amplitude internal waves propagating between a flat rigid-lid and a highly variable topography. The smallness assumptions on the topographic variation parameter used in [Communications on Pure & Applied Analysis, 2015, 14 (6): 2203-2230] and in [Asymptotic Analysis, vol. 106, no. 2, pp. 61-98, 2018] are now relaxed and the results of the aforementioned papers are improved and generalized to the complex case of large topography variation. Limiting the flow to one-layer, we also emphasize our model's well-posedness in comparison to the original asymptotic model.

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Ralph Lteif, Bashar Khorbatly. 2022-07-11. Medium amplitude model for internal waves over large topography variation. https://doi.org/10.1016/j.jmaa.2022.126364

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