Nonlinear inviscid damping for a class of monotone shear flows in finite channel
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2020
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| _version_ | 1866929698412429312 |
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| author | Masmoudi, Nader Zhao, Weiren |
| author_facet | Masmoudi, Nader Zhao, Weiren |
| contents | We prove the nonlinear inviscid damping for a class of monotone shear flows in $T\times [0,1]$ for initial perturbation in Gevrey-$1/s$($s>2$) class with compact support. The main idea of the proof is to use the wave operator of a slightly modified Rayleigh operator in a well chosen coordinate system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2001_08564 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Nonlinear inviscid damping for a class of monotone shear flows in finite channel Masmoudi, Nader Zhao, Weiren Analysis of PDEs Fluid Dynamics We prove the nonlinear inviscid damping for a class of monotone shear flows in $T\times [0,1]$ for initial perturbation in Gevrey-$1/s$($s>2$) class with compact support. The main idea of the proof is to use the wave operator of a slightly modified Rayleigh operator in a well chosen coordinate system. |
| title | Nonlinear inviscid damping for a class of monotone shear flows in finite channel |
| topic | Analysis of PDEs Fluid Dynamics |
| url | https://arxiv.org/abs/2001.08564 |