A subsequentially fast dynamo on $\mathbb{T}^3$
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908384741031936 |
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| author | Rowan, Keefer |
| author_facet | Rowan, Keefer |
| contents | We construct a smooth velocity field $u$ on $\mathbb{R}_+ \times \mathbb{T}^3$ that exhibits kinematic dynamo action, causing exponential growth in solutions to the magnetohydrodynamic induction equation, with a rate that is uniform in diffusivity, for suitable sequences of diffusivity $κ_j \to 0.$ We call this a subsequentially fast dynamo, giving dynamo behavior intermediate between a truly slow dynamo and a truly fast dynamo. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_23936 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A subsequentially fast dynamo on $\mathbb{T}^3$ Rowan, Keefer Analysis of PDEs Mathematical Physics We construct a smooth velocity field $u$ on $\mathbb{R}_+ \times \mathbb{T}^3$ that exhibits kinematic dynamo action, causing exponential growth in solutions to the magnetohydrodynamic induction equation, with a rate that is uniform in diffusivity, for suitable sequences of diffusivity $κ_j \to 0.$ We call this a subsequentially fast dynamo, giving dynamo behavior intermediate between a truly slow dynamo and a truly fast dynamo. |
| title | A subsequentially fast dynamo on $\mathbb{T}^3$ |
| topic | Analysis of PDEs Mathematical Physics |
| url | https://arxiv.org/abs/2505.23936 |