Global smooth solutions to Navier-Stokes equations with large initial data in critical space
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912251533852672 |
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| author | Li, Haina Xu, Yiran |
| author_facet | Li, Haina Xu, Yiran |
| contents | In this paper, we investigate the existence of a unique global smooth solution to the three-dimensional incompressible Navier-Stokes equations and provide a concise proof. We establish a new global well-posedness result that allows the initial data to be arbitrarily large within the critical space $\dot{B}^{-1}_{\infty,\infty}$, while still satisfying the nonlinear smallness condition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_20059 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Global smooth solutions to Navier-Stokes equations with large initial data in critical space Li, Haina Xu, Yiran Analysis of PDEs In this paper, we investigate the existence of a unique global smooth solution to the three-dimensional incompressible Navier-Stokes equations and provide a concise proof. We establish a new global well-posedness result that allows the initial data to be arbitrarily large within the critical space $\dot{B}^{-1}_{\infty,\infty}$, while still satisfying the nonlinear smallness condition. |
| title | Global smooth solutions to Navier-Stokes equations with large initial data in critical space |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2502.20059 |