Traveling waves near Poiseuille flow for the 2D Euler equation
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866911859563560960 |
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| author | Castro, Ángel Lear, Daniel |
| author_facet | Castro, Ángel Lear, Daniel |
| contents | In this paper we reveal the existence of a large family of new, nontrivial and Lipschitz traveling waves for the 2D Euler equation at an arbitrarily small distance from the Poiseuille flow in $H^s$, with $s<3/2$, at the level of the vorticity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_19034 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Traveling waves near Poiseuille flow for the 2D Euler equation Castro, Ángel Lear, Daniel Analysis of PDEs 76E05, 76B03, 35Q31, 35Q35 In this paper we reveal the existence of a large family of new, nontrivial and Lipschitz traveling waves for the 2D Euler equation at an arbitrarily small distance from the Poiseuille flow in $H^s$, with $s<3/2$, at the level of the vorticity. |
| title | Traveling waves near Poiseuille flow for the 2D Euler equation |
| topic | Analysis of PDEs 76E05, 76B03, 35Q31, 35Q35 |
| url | https://arxiv.org/abs/2404.19034 |