Conditional Liouville theorems for the Navier-Stokes equations
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866918235092287488 |
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| author | Coiculescu, Matei P. Yang, Jincheng |
| author_facet | Coiculescu, Matei P. Yang, Jincheng |
| contents | We present a novel approach to the Liouville problem for the stationary Navier-Stokes equations. As an application of our method, we prove conditional Liouville theorems with assumptions on the antiderivative of the velocity that represent substantial improvements on what was heretofore known. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_14533 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Conditional Liouville theorems for the Navier-Stokes equations Coiculescu, Matei P. Yang, Jincheng Analysis of PDEs 35Q30, 76D05, 35B53 We present a novel approach to the Liouville problem for the stationary Navier-Stokes equations. As an application of our method, we prove conditional Liouville theorems with assumptions on the antiderivative of the velocity that represent substantial improvements on what was heretofore known. |
| title | Conditional Liouville theorems for the Navier-Stokes equations |
| topic | Analysis of PDEs 35Q30, 76D05, 35B53 |
| url | https://arxiv.org/abs/2506.14533 |