Turbulent and intermittent phenomena in a universal total anomalous dissipator
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909715411238912 |
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| author | Hess-Childs, Elias Rowan, Keefer |
| author_facet | Hess-Childs, Elias Rowan, Keefer |
| contents | For all $α\in (0,1)$, we construct an explicit divergence-free vector field $V \in L^\infty([0,1],C^α(\mathbb{T}^2))$ that exhibits universal anomalous (total) dissipation, accelerating dissipation enhancement, Richardson dispersion, anomalous regularization, and spatial intermittency. Additionally, we demonstrate the sharpness of the intermittent Obukhov-Corrsin regime for certain parameter ranges. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_00115 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Turbulent and intermittent phenomena in a universal total anomalous dissipator Hess-Childs, Elias Rowan, Keefer Analysis of PDEs Mathematical Physics Probability For all $α\in (0,1)$, we construct an explicit divergence-free vector field $V \in L^\infty([0,1],C^α(\mathbb{T}^2))$ that exhibits universal anomalous (total) dissipation, accelerating dissipation enhancement, Richardson dispersion, anomalous regularization, and spatial intermittency. Additionally, we demonstrate the sharpness of the intermittent Obukhov-Corrsin regime for certain parameter ranges. |
| title | Turbulent and intermittent phenomena in a universal total anomalous dissipator |
| topic | Analysis of PDEs Mathematical Physics Probability |
| url | https://arxiv.org/abs/2508.00115 |