The early stage of the motion along the gradient of a concentrated vortex structure
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866917379251896320 |
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| author | Flandoli, Franco Palmieri, Matteo Viviani, Milo |
| author_facet | Flandoli, Franco Palmieri, Matteo Viviani, Milo |
| contents | We give a rigorous mathematical result, supported by numerical simulations, of the aggregation of a concentrated vortex blob with an underlying non-constant vorticity field: the blob moves in the direction of the gradient of the field. It is a unique example of a Lagrangian explanation of aggregation of vortex structures of the same sign in 2D inviscid fluids. The result is also extended to almost vertical vortex filaments in a (possibly thin) three-dimensional domain. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_22700 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The early stage of the motion along the gradient of a concentrated vortex structure Flandoli, Franco Palmieri, Matteo Viviani, Milo Mathematical Physics Fluid Dynamics We give a rigorous mathematical result, supported by numerical simulations, of the aggregation of a concentrated vortex blob with an underlying non-constant vorticity field: the blob moves in the direction of the gradient of the field. It is a unique example of a Lagrangian explanation of aggregation of vortex structures of the same sign in 2D inviscid fluids. The result is also extended to almost vertical vortex filaments in a (possibly thin) three-dimensional domain. |
| title | The early stage of the motion along the gradient of a concentrated vortex structure |
| topic | Mathematical Physics Fluid Dynamics |
| url | https://arxiv.org/abs/2505.22700 |