Linear stability analysis of the Couette flow for 2D compressible Navier-Stokes-Poisson system
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916656027009024 |
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| author | Lu, Yurui Pu, Xueke |
| author_facet | Lu, Yurui Pu, Xueke |
| contents | In this paper, we study the linear stability of Couette flow for 2D compressible Navier-Stokes-Poisson system at high Reynolds number in the domain $\mathbb{T}\times\mathbb{R}$ with initial perturbation in Sobolev spaces. We establish the upper bounds for the solutions of linearized system near Couette flow. In particular, we show that the irrotational component of the perturbation may have a transient growth, after which it decays exponentially. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_14206 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Linear stability analysis of the Couette flow for 2D compressible Navier-Stokes-Poisson system Lu, Yurui Pu, Xueke Analysis of PDEs In this paper, we study the linear stability of Couette flow for 2D compressible Navier-Stokes-Poisson system at high Reynolds number in the domain $\mathbb{T}\times\mathbb{R}$ with initial perturbation in Sobolev spaces. We establish the upper bounds for the solutions of linearized system near Couette flow. In particular, we show that the irrotational component of the perturbation may have a transient growth, after which it decays exponentially. |
| title | Linear stability analysis of the Couette flow for 2D compressible Navier-Stokes-Poisson system |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2503.14206 |