Time evolution of the Navier-Stokes flow in far-field
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866910170693500928 |
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| author | Yamamoto, Masakazu |
| author_facet | Yamamoto, Masakazu |
| contents | Asymptotic expansion in far-field for the incompressive Navier-Stokes flow are established. Under moment conditions on the initial vorticity, technique of renormalization together with Biot-Savard law derives an asymptotic expansion for the velocity with high-order. Especially scalings and large-time behaviors of the expansions are clarified. By employing them, time evolution of velocity in far-field is drawn. As an appendix, asymptotic behavior of solutions as time variable tends to infinity is given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_12557 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Time evolution of the Navier-Stokes flow in far-field Yamamoto, Masakazu Analysis of PDEs Mathematical Physics 35Q30, 35B40, 35C20, 76C05 Asymptotic expansion in far-field for the incompressive Navier-Stokes flow are established. Under moment conditions on the initial vorticity, technique of renormalization together with Biot-Savard law derives an asymptotic expansion for the velocity with high-order. Especially scalings and large-time behaviors of the expansions are clarified. By employing them, time evolution of velocity in far-field is drawn. As an appendix, asymptotic behavior of solutions as time variable tends to infinity is given. |
| title | Time evolution of the Navier-Stokes flow in far-field |
| topic | Analysis of PDEs Mathematical Physics 35Q30, 35B40, 35C20, 76C05 |
| url | https://arxiv.org/abs/2302.12557 |