Logarithmic improvement of a Liouville-type theorem for the stationary Navier--Stokes equations
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866914419317932032 |
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| author | Cho, Youseung Yang, Minsuk |
| author_facet | Cho, Youseung Yang, Minsuk |
| contents | We establish a new Liouville-type theorem for the stationary Navier--Stokes equations in $\mathbb{R}^3$. The main result is an improvement of the previous result with a logarithmic factor based on an understanding of $L^p$ growth of the velocity field near infinity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_04372 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Logarithmic improvement of a Liouville-type theorem for the stationary Navier--Stokes equations Cho, Youseung Yang, Minsuk Analysis of PDEs We establish a new Liouville-type theorem for the stationary Navier--Stokes equations in $\mathbb{R}^3$. The main result is an improvement of the previous result with a logarithmic factor based on an understanding of $L^p$ growth of the velocity field near infinity. |
| title | Logarithmic improvement of a Liouville-type theorem for the stationary Navier--Stokes equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2501.04372 |