Vortices and Factorization
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866915322633650176 |
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| author | Loutsenko, Igor Yermolayeva, Oksana |
| author_facet | Loutsenko, Igor Yermolayeva, Oksana |
| contents | We review applications of factorization methods to the problem of finding stationary point vortex patterns in two-dimensional fluid mechanics. Then we present a new class of patterns related to periodic analogs of Schrodinger operators from the ``even" bi-spectral family. We also show that patterns related to soliton solutions of the KdV hierarchy constitute complete solution of the problem for certain classes of vortex systems.
Keywords: Point vortices in ideal fluid, Factorization of second- and third-order differential operators, KdV and Sawada-Kotera hierarchies, Bispectral problem, Locus configurations |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_07537 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Vortices and Factorization Loutsenko, Igor Yermolayeva, Oksana Mathematical Physics High Energy Physics - Theory Exactly Solvable and Integrable Systems Fluid Dynamics We review applications of factorization methods to the problem of finding stationary point vortex patterns in two-dimensional fluid mechanics. Then we present a new class of patterns related to periodic analogs of Schrodinger operators from the ``even" bi-spectral family. We also show that patterns related to soliton solutions of the KdV hierarchy constitute complete solution of the problem for certain classes of vortex systems. Keywords: Point vortices in ideal fluid, Factorization of second- and third-order differential operators, KdV and Sawada-Kotera hierarchies, Bispectral problem, Locus configurations |
| title | Vortices and Factorization |
| topic | Mathematical Physics High Energy Physics - Theory Exactly Solvable and Integrable Systems Fluid Dynamics |
| url | https://arxiv.org/abs/2403.07537 |