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arXiv · 2401.17102

Linear stability analysis of the Couette flow for the 2D Euler-Poisson system

Xueke Pu·Wenli Zhou·Dongfen Bian
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Abstract

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.

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Xueke Pu, Wenli Zhou, Dongfen Bian. 2024-01-30. Linear stability analysis of the Couette flow for the 2D Euler-Poisson system. https://arxiv.org/abs/2401.17102

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