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| Format: | Preprint |
| Publié: |
2025
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| Accès en ligne: | https://arxiv.org/abs/2508.16906 |
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| _version_ | 1866916913522671616 |
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| author | Yamazaki, Kazuo |
| author_facet | Yamazaki, Kazuo |
| contents | We study the three-dimensional Navier-Stokes equations forced by space-time white noise and diffused via the fractional Laplacian with Lions' exponent so that it is precisely the energy-critical case. We prove its global solution theory following the approach of Hairer and Rosati (2024, Annals of PDE, \textbf{10}, pp. 1--46). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_16906 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Remarks on the three-dimensional Navier-Stokes equations with Lions' exponent forced by space-time white noise Yamazaki, Kazuo Analysis of PDEs Probability We study the three-dimensional Navier-Stokes equations forced by space-time white noise and diffused via the fractional Laplacian with Lions' exponent so that it is precisely the energy-critical case. We prove its global solution theory following the approach of Hairer and Rosati (2024, Annals of PDE, \textbf{10}, pp. 1--46). |
| title | Remarks on the three-dimensional Navier-Stokes equations with Lions' exponent forced by space-time white noise |
| topic | Analysis of PDEs Probability |
| url | https://arxiv.org/abs/2508.16906 |