Viscous vortex crystals
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908854670852096 |
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| author | Dolce, Michele Donati, Martin |
| author_facet | Dolce, Michele Donati, Martin |
| contents | We study the solution to the two-dimensional incompressible Navier-Stokes equations arising from a sum of Dirac masses in a particular co-rotating configuration. This configuration consists of a polygonal vortex crystal with or without a central vortex. By exploiting the symmetries and stability properties of the system, we describe and control the solution up to sub-diffusive time scales, prior to the expected onset of vortex merging. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_23134 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Viscous vortex crystals Dolce, Michele Donati, Martin Analysis of PDEs Fluid Dynamics 35Q30, 76D05, 76D17, 35C20, 35B35 We study the solution to the two-dimensional incompressible Navier-Stokes equations arising from a sum of Dirac masses in a particular co-rotating configuration. This configuration consists of a polygonal vortex crystal with or without a central vortex. By exploiting the symmetries and stability properties of the system, we describe and control the solution up to sub-diffusive time scales, prior to the expected onset of vortex merging. |
| title | Viscous vortex crystals |
| topic | Analysis of PDEs Fluid Dynamics 35Q30, 76D05, 76D17, 35C20, 35B35 |
| url | https://arxiv.org/abs/2602.23134 |