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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.02638 |
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| _version_ | 1866915181628489728 |
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| author | Paicu, Marius Yu, Tianyuan Zhu, Ning |
| author_facet | Paicu, Marius Yu, Tianyuan Zhu, Ning |
| contents | In this paper, we study the hydrostatic approximation for the 3D Oldroyd-B model. Firstly, we derive the hydrostatic approximate system for this model and prove the global well-posedness of the limit system with small analytic initial data in horizontal variable. Then we justify the hydrostatic limit strictly from the re-scaled Oldroyd-B model to the hydrostatic Oldroyd-B model and obtain the precise convergence rate. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_02638 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the hydrostatic approximation of 3D Oldroyd-B model Paicu, Marius Yu, Tianyuan Zhu, Ning Analysis of PDEs In this paper, we study the hydrostatic approximation for the 3D Oldroyd-B model. Firstly, we derive the hydrostatic approximate system for this model and prove the global well-posedness of the limit system with small analytic initial data in horizontal variable. Then we justify the hydrostatic limit strictly from the re-scaled Oldroyd-B model to the hydrostatic Oldroyd-B model and obtain the precise convergence rate. |
| title | On the hydrostatic approximation of 3D Oldroyd-B model |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2503.02638 |