Viscosity driven instability of shear flows without boundaries
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866916463091122176 |
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| author | Li, Hui Zhao, Weiren |
| author_facet | Li, Hui Zhao, Weiren |
| contents | In this paper, we study the instability effect of viscous dissipation in a domain without boundaries. We construct a shear flow that is initially spectrally stable but evolves into a spectrally unstable state under the influence of viscous dissipation. To the best of our knowledge, this is the first result of viscosity driven instability that is not caused by boundaries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_23798 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Viscosity driven instability of shear flows without boundaries Li, Hui Zhao, Weiren Analysis of PDEs In this paper, we study the instability effect of viscous dissipation in a domain without boundaries. We construct a shear flow that is initially spectrally stable but evolves into a spectrally unstable state under the influence of viscous dissipation. To the best of our knowledge, this is the first result of viscosity driven instability that is not caused by boundaries. |
| title | Viscosity driven instability of shear flows without boundaries |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2410.23798 |