On the onset of filamentation on two-dimensional vorticity interfaces
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909344286638080 |
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| author | Constantin, Adrian Dritschel, David Germain, Pierre |
| author_facet | Constantin, Adrian Dritschel, David Germain, Pierre |
| contents | We study an asymptotic nonlinear model for filamention on two-dimensional vorticity interfaces. Different re-formulations of the model equation reveal its underlying structural properties. They enable us to construct global weak solutions and to prove the existence of traveling waves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_07807 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the onset of filamentation on two-dimensional vorticity interfaces Constantin, Adrian Dritschel, David Germain, Pierre Analysis of PDEs 35Q31, 76B25, 76M45 We study an asymptotic nonlinear model for filamention on two-dimensional vorticity interfaces. Different re-formulations of the model equation reveal its underlying structural properties. They enable us to construct global weak solutions and to prove the existence of traveling waves. |
| title | On the onset of filamentation on two-dimensional vorticity interfaces |
| topic | Analysis of PDEs 35Q31, 76B25, 76M45 |
| url | https://arxiv.org/abs/2410.07807 |