Well-posedness of rough 2D Euler equation with bounded vorticity
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913569041285120 |
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| author | Roveri, Leonardo Triggiano, Francesco |
| author_facet | Roveri, Leonardo Triggiano, Francesco |
| contents | We consider the 2D Euler equation with bounded initial vorticity and perturbed by rough transport noise. We show that there exists a unique solution, which coincides with the starting condition advected by the Lagrangian flow. Moreover, the stability of the solution map with respect to the initial vorticity and the rough perturbation yields a Wong-Zakai result for fractional Brownian driving paths. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_24040 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Well-posedness of rough 2D Euler equation with bounded vorticity Roveri, Leonardo Triggiano, Francesco Analysis of PDEs We consider the 2D Euler equation with bounded initial vorticity and perturbed by rough transport noise. We show that there exists a unique solution, which coincides with the starting condition advected by the Lagrangian flow. Moreover, the stability of the solution map with respect to the initial vorticity and the rough perturbation yields a Wong-Zakai result for fractional Brownian driving paths. |
| title | Well-posedness of rough 2D Euler equation with bounded vorticity |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2410.24040 |