Linear stability analysis of the Couette flow for the 2D Euler-Poisson system
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909088081772544 |
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| author | Pu, Xueke Zhou, Wenli Bian, Dongfen |
| author_facet | Pu, Xueke Zhou, Wenli Bian, Dongfen |
| contents | This paper is concerned with the linear stability analysis for the Couette flow of the Euler-Poisson system for both ionic fluid and electronic fluid in the domain $\bb{T}\times\bb{R}$. We establish the upper and lower bounds of the linearized solutions of the Euler-Poisson system near Couette flow. In particular, the inviscid damping for the solenoidal component of the velocity is obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_17102 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Linear stability analysis of the Couette flow for the 2D Euler-Poisson system Pu, Xueke Zhou, Wenli Bian, Dongfen Analysis of PDEs This paper is concerned with the linear stability analysis for the Couette flow of the Euler-Poisson system for both ionic fluid and electronic fluid in the domain $\bb{T}\times\bb{R}$. We establish the upper and lower bounds of the linearized solutions of the Euler-Poisson system near Couette flow. In particular, the inviscid damping for the solenoidal component of the velocity is obtained. |
| title | Linear stability analysis of the Couette flow for the 2D Euler-Poisson system |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2401.17102 |