A blow up solution of the Navier-Stokes equations with a super critical forcing term
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866912001374027776 |
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| author | Zhang, Qi S. |
| author_facet | Zhang, Qi S. |
| contents | A forced solution $v$ of the axially symmetric Navier-Stokes equation in a finite cylinder $D$ with suitable boundary condition is constructed. The forcing term is in the super critical space $L^q_t L^1_x$ for all $q>1$. The velocity is in the energy space at the final moment when it blows up. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_12306 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A blow up solution of the Navier-Stokes equations with a super critical forcing term Zhang, Qi S. Analysis of PDEs 35Q30, 76D03 A forced solution $v$ of the axially symmetric Navier-Stokes equation in a finite cylinder $D$ with suitable boundary condition is constructed. The forcing term is in the super critical space $L^q_t L^1_x$ for all $q>1$. The velocity is in the energy space at the final moment when it blows up. |
| title | A blow up solution of the Navier-Stokes equations with a super critical forcing term |
| topic | Analysis of PDEs 35Q30, 76D03 |
| url | https://arxiv.org/abs/2311.12306 |