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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.07391 |
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| _version_ | 1866918283636113408 |
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| author | Jézéquel, Malo Wang, Jian |
| author_facet | Jézéquel, Malo Wang, Jian |
| contents | We prove the uniform solvability of a stationary problem associated to internal waves equation with small viscosity in a two dimensional aquarium with real-analytic boundary, under a Morse--Smale dynamical assumption. This is achieved by using complex deformations of the aquarium, on which the inviscid stationary internal wave operator is invertible. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_07391 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Stationary internal waves in a two-dimensional aquarium at low viscosity Jézéquel, Malo Wang, Jian Analysis of PDEs Mathematical Physics Spectral Theory 35Q85, 35Q86 We prove the uniform solvability of a stationary problem associated to internal waves equation with small viscosity in a two dimensional aquarium with real-analytic boundary, under a Morse--Smale dynamical assumption. This is achieved by using complex deformations of the aquarium, on which the inviscid stationary internal wave operator is invertible. |
| title | Stationary internal waves in a two-dimensional aquarium at low viscosity |
| topic | Analysis of PDEs Mathematical Physics Spectral Theory 35Q85, 35Q86 |
| url | https://arxiv.org/abs/2601.07391 |