Eddy viscosity by Lévy transport noises
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909847699587072 |
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| author | Luo, Dejun Teng, Feifan |
| author_facet | Luo, Dejun Teng, Feifan |
| contents | We consider stochastic 2D Euler equations with $L^2$-initial vorticity and driven by Lévy transport noise in the Marcus sense. Under a suitable scaling limit of the noises, we prove that the weak solutions converge weakly to the unique solution of the deterministic 2D Navier-Stokes equation. This shows that small scale jump noises generate eddy viscosity, extending the recent studies on Itô-Stratonovich diffusion limit to discontinuous setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_13463 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Eddy viscosity by Lévy transport noises Luo, Dejun Teng, Feifan Probability We consider stochastic 2D Euler equations with $L^2$-initial vorticity and driven by Lévy transport noise in the Marcus sense. Under a suitable scaling limit of the noises, we prove that the weak solutions converge weakly to the unique solution of the deterministic 2D Navier-Stokes equation. This shows that small scale jump noises generate eddy viscosity, extending the recent studies on Itô-Stratonovich diffusion limit to discontinuous setting. |
| title | Eddy viscosity by Lévy transport noises |
| topic | Probability |
| url | https://arxiv.org/abs/2510.13463 |