Consistency analysis for combined homogenization and shallow water limit of water waves

Antoine Gloria; David Lee

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arXiv · 2605.05869

Consistency analysis for combined homogenization and shallow water limit of water waves

Antoine Gloria·David Lee

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Abstract

We consider a shallow water model in a homogenization framework. For periodic topographies, Craig, Lannes and Sulem have established a consistency result under some non-resonance conditions. In the present contribution, we significantly relax the periodicity condition and treat general topographies under minimal assumptions.

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Antoine Gloria, David Lee. 2026-05-07. Consistency analysis for combined homogenization and shallow water limit of water waves. https://arxiv.org/abs/2605.05869

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