Splitting and Merging of Stagnation Points of Solutions to the 2D Navier-Stokes Equations
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866918152420458496 |
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| author | Benaroya, Isidro Enciso, Alberto Peralta-Salas, Daniel |
| author_facet | Benaroya, Isidro Enciso, Alberto Peralta-Salas, Daniel |
| contents | We construct solutions to the Navier-Stokes equations on $\mathbf{R}^2$ with an arbitrary number of stagnation points which merge and split along trajectories that can be prescribed freely, up to a small deformation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_00784 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Splitting and Merging of Stagnation Points of Solutions to the 2D Navier-Stokes Equations Benaroya, Isidro Enciso, Alberto Peralta-Salas, Daniel Analysis of PDEs We construct solutions to the Navier-Stokes equations on $\mathbf{R}^2$ with an arbitrary number of stagnation points which merge and split along trajectories that can be prescribed freely, up to a small deformation. |
| title | Splitting and Merging of Stagnation Points of Solutions to the 2D Navier-Stokes Equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2510.00784 |