Enstrophy dynamics for flow past a solid body with no-slip boundary condition
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909038609956864 |
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| author | Gorshkov, Aleksei |
| author_facet | Gorshkov, Aleksei |
| contents | In the paper we study the impact of the boundary vorticity distribution on the dynamics of enstrophy for flows around streamlined body. A new energy identity is derived in the article, which includes the boundary values of the vortex function. For the Stokes system the dissipativity of enstrophy is proved. For the Navier-Stokes system a new equation of the enstrophy dynamics is obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_15317 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Enstrophy dynamics for flow past a solid body with no-slip boundary condition Gorshkov, Aleksei Analysis of PDEs Mathematical Physics 74F10 85A30 35Q30 76D05 In the paper we study the impact of the boundary vorticity distribution on the dynamics of enstrophy for flows around streamlined body. A new energy identity is derived in the article, which includes the boundary values of the vortex function. For the Stokes system the dissipativity of enstrophy is proved. For the Navier-Stokes system a new equation of the enstrophy dynamics is obtained. |
| title | Enstrophy dynamics for flow past a solid body with no-slip boundary condition |
| topic | Analysis of PDEs Mathematical Physics 74F10 85A30 35Q30 76D05 |
| url | https://arxiv.org/abs/2506.15317 |