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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2406.11000 |
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| _version_ | 1866914836522205184 |
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| author | Anikin, A. Yu. Rykhlov, V. V. |
| author_facet | Anikin, A. Yu. Rykhlov, V. V. |
| contents | This paper is a continuation of research started in [7] devoted to explicit asymptotic formulas for standing coastal-trapped waves. Our main goal is to construct formal asymptotic eigenfunctions of the wave operator $\langle \nabla, D(x)\nabla\rangle$ (the spatial part of the wave operator) corresponding to the eigenvalue $ω\to\infty$ in a nearly integrable case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_11000 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | High-Frequency Two-Dimensional Asymptotic Standing Coastal-Trapped Waves in Nearly Integrable Case Anikin, A. Yu. Rykhlov, V. V. Analysis of PDEs Mathematical Physics This paper is a continuation of research started in [7] devoted to explicit asymptotic formulas for standing coastal-trapped waves. Our main goal is to construct formal asymptotic eigenfunctions of the wave operator $\langle \nabla, D(x)\nabla\rangle$ (the spatial part of the wave operator) corresponding to the eigenvalue $ω\to\infty$ in a nearly integrable case. |
| title | High-Frequency Two-Dimensional Asymptotic Standing Coastal-Trapped Waves in Nearly Integrable Case |
| topic | Analysis of PDEs Mathematical Physics |
| url | https://arxiv.org/abs/2406.11000 |