Scale invariant bounds for the Kelvin-Helmholtz instability
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913963055251456 |
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| author | Kalinin, Konstantin Menon, Govind Wu, Bian |
| author_facet | Kalinin, Konstantin Menon, Govind Wu, Bian |
| contents | We derive robust long-time a-priori estimates for the Navier-Stokes equation in a two-dimensional infinite strip which are uniform in the Reynolds number. These estimates provide several new scale invariant upper bounds for the size of the mixing layer in the Kelvin-Helmholtz instability. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_14557 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Scale invariant bounds for the Kelvin-Helmholtz instability Kalinin, Konstantin Menon, Govind Wu, Bian Analysis of PDEs 35Q30, 35Q35, 76B70, 76E20 We derive robust long-time a-priori estimates for the Navier-Stokes equation in a two-dimensional infinite strip which are uniform in the Reynolds number. These estimates provide several new scale invariant upper bounds for the size of the mixing layer in the Kelvin-Helmholtz instability. |
| title | Scale invariant bounds for the Kelvin-Helmholtz instability |
| topic | Analysis of PDEs 35Q30, 35Q35, 76B70, 76E20 |
| url | https://arxiv.org/abs/2410.14557 |