Consistency analysis for combined homogenization and shallow water limit of water waves
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909020518875136 |
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| author | Gloria, Antoine Lee, David |
| author_facet | Gloria, Antoine Lee, David |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_05869 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Consistency analysis for combined homogenization and shallow water limit of water waves Gloria, Antoine Lee, David Analysis of PDEs 35Q35, 76M50, 76B15 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. |
| title | Consistency analysis for combined homogenization and shallow water limit of water waves |
| topic | Analysis of PDEs 35Q35, 76M50, 76B15 |
| url | https://arxiv.org/abs/2605.05869 |