Temporal decay estimates for global solutions of the Navier-Stokes equations with the Coriolis force
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866913056646234112 |
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| author | Yoshizawa, Tomoaki |
| author_facet | Yoshizawa, Tomoaki |
| contents | We consider temporal decay estimates for global solutions of the Navier-Stokes equations with the Coriolis force. We show that under several conditions including the smallness of the initial data, the solution decays as fast as the corresponding linearized solutions, and its decay rate is higher than expected from the flow of the heat equation. The estimates are derived for all $L^p$-norms with $p\in[2, \infty].$ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_21217 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Temporal decay estimates for global solutions of the Navier-Stokes equations with the Coriolis force Yoshizawa, Tomoaki Analysis of PDEs 76D05, 76U05, 35B40 We consider temporal decay estimates for global solutions of the Navier-Stokes equations with the Coriolis force. We show that under several conditions including the smallness of the initial data, the solution decays as fast as the corresponding linearized solutions, and its decay rate is higher than expected from the flow of the heat equation. The estimates are derived for all $L^p$-norms with $p\in[2, \infty].$ |
| title | Temporal decay estimates for global solutions of the Navier-Stokes equations with the Coriolis force |
| topic | Analysis of PDEs 76D05, 76U05, 35B40 |
| url | https://arxiv.org/abs/2604.21217 |