Inviscid damping of monotone shear flows for 2D inhomogeneous Euler equation with non-constant density in a finite channel
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866910814294769664 |
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| author | Zhao, Weiren |
| author_facet | Zhao, Weiren |
| contents | We prove the nonlinear inviscid damping for a class of monotone shear flows with non-constant background density for the two-dimensional ideal inhomogeneous fluids in $\mathbb{T}\times [0,1]$ when the initial perturbation is in Gevrey-$\frac{1}{s}$ ($\frac{1}{2}<s<1$) class with compact support. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_09841 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Inviscid damping of monotone shear flows for 2D inhomogeneous Euler equation with non-constant density in a finite channel Zhao, Weiren Analysis of PDEs Fluid Dynamics We prove the nonlinear inviscid damping for a class of monotone shear flows with non-constant background density for the two-dimensional ideal inhomogeneous fluids in $\mathbb{T}\times [0,1]$ when the initial perturbation is in Gevrey-$\frac{1}{s}$ ($\frac{1}{2}<s<1$) class with compact support. |
| title | Inviscid damping of monotone shear flows for 2D inhomogeneous Euler equation with non-constant density in a finite channel |
| topic | Analysis of PDEs Fluid Dynamics |
| url | https://arxiv.org/abs/2304.09841 |