Averaging principle for slow-fast systems of PDEs with rough drivers
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915576860901376 |
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| author | Li, Miaomiao Pei, Bin Xu, Yong Yue, Xiaole |
| author_facet | Li, Miaomiao Pei, Bin Xu, Yong Yue, Xiaole |
| contents | This paper investigates a class of slow--fast systems of rough partial differential equations defined over a monotone family of interpolation Hilbert spaces. By employing the controlled rough path framework tailored to a monotone family of interpolation spaces, together with a time discretization argument, we demonstrate that the slow component strongly converges to the solution of the averaged system in the supremum norm as the time-scale parameter $\varepsilon$ tends to $0$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_22269 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Averaging principle for slow-fast systems of PDEs with rough drivers Li, Miaomiao Pei, Bin Xu, Yong Yue, Xiaole Probability Dynamical Systems This paper investigates a class of slow--fast systems of rough partial differential equations defined over a monotone family of interpolation Hilbert spaces. By employing the controlled rough path framework tailored to a monotone family of interpolation spaces, together with a time discretization argument, we demonstrate that the slow component strongly converges to the solution of the averaged system in the supremum norm as the time-scale parameter $\varepsilon$ tends to $0$. |
| title | Averaging principle for slow-fast systems of PDEs with rough drivers |
| topic | Probability Dynamical Systems |
| url | https://arxiv.org/abs/2510.22269 |