Quantitative enstrophy bounds for measure vorticities
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866915802500825088 |
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| author | De Rosa, Luigi Marcotullio, Margherita |
| author_facet | De Rosa, Luigi Marcotullio, Margherita |
| contents | We consider the two-dimensional incompressible Navier-Stokes equations with measure initial vorticity. By means of improved Nash inequalities, we establish quantitative estimates for the enstrophy depending on the absolute vorticity decay on balls. The bounds are optimal in several aspects and yield to a conjecturally sharp rate of the dissipation in the Delort's class. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_15670 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quantitative enstrophy bounds for measure vorticities De Rosa, Luigi Marcotullio, Margherita Analysis of PDEs Mathematical Physics Fluid Dynamics We consider the two-dimensional incompressible Navier-Stokes equations with measure initial vorticity. By means of improved Nash inequalities, we establish quantitative estimates for the enstrophy depending on the absolute vorticity decay on balls. The bounds are optimal in several aspects and yield to a conjecturally sharp rate of the dissipation in the Delort's class. |
| title | Quantitative enstrophy bounds for measure vorticities |
| topic | Analysis of PDEs Mathematical Physics Fluid Dynamics |
| url | https://arxiv.org/abs/2602.15670 |