On the stability of shear flows in bounded channels, II: non-monotonic shear flows
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
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| _version_ | 1866909088634372096 |
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| author | Ionescu, Alexandru D. Iyer, Sameer Jia, Hao |
| author_facet | Ionescu, Alexandru D. Iyer, Sameer Jia, Hao |
| contents | We give a proof of linear inviscid damping and vorticity depletion for non-monotonic shear flows with one critical point in a bounded periodic channel. In particular, we obtain quantitative depletion rates for the vorticity function without any symmetry assumptions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_00288 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On the stability of shear flows in bounded channels, II: non-monotonic shear flows Ionescu, Alexandru D. Iyer, Sameer Jia, Hao Analysis of PDEs We give a proof of linear inviscid damping and vorticity depletion for non-monotonic shear flows with one critical point in a bounded periodic channel. In particular, we obtain quantitative depletion rates for the vorticity function without any symmetry assumptions. |
| title | On the stability of shear flows in bounded channels, II: non-monotonic shear flows |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2301.00288 |