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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/2601.04944 |
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| _version_ | 1866908753915281408 |
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| author | Boulmezaoud, Tahar Zamène Kerdid, Nabil Kourta, Amel |
| author_facet | Boulmezaoud, Tahar Zamène Kerdid, Nabil Kourta, Amel |
| contents | We consider the modified Navier-Stokes equations in R3 describing the motion of a fluid in the presence of a rotating rigid body. Weighted Sobolev spaces are used to describe the behavior of solutions at large distances. Under suitable assumptions, w e prove the existence and regularity of solutions satisfying appropriate conditions at infinity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_04944 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On Navier-Stokes equations arising from the rotation of an obstacle in a fluid Boulmezaoud, Tahar Zamène Kerdid, Nabil Kourta, Amel Analysis of PDEs We consider the modified Navier-Stokes equations in R3 describing the motion of a fluid in the presence of a rotating rigid body. Weighted Sobolev spaces are used to describe the behavior of solutions at large distances. Under suitable assumptions, w e prove the existence and regularity of solutions satisfying appropriate conditions at infinity. |
| title | On Navier-Stokes equations arising from the rotation of an obstacle in a fluid |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2601.04944 |