Linear stability analysis of the Couette flow for the two dimensional Euler-Poisson system

Xueke Pu; Wenli Zhou; Dongfen Bian

doi:10.1063/5.0238142

Linear stability analysis of the Couette flow for the two dimensional Euler-Poisson system

Xueke Pu, Wenli Zhou, Dongfen Bian^*

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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 T × R . We establish upper and lower bounds of the linearized solutions of the Euler-Poisson system near Couette flow. In particular, inviscid damping for the solenoidal component of the velocity is obtained.

Original language	English
Article number	021503
Journal	Journal of Mathematical Physics
Volume	66
Issue number	2
DOIs	http://doi.org/10.1063/5.0238142
Publication status	Published - 1 Feb 2025

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title = "Linear stability analysis of the Couette flow for the two dimensional Euler-Poisson system",

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 T × R . We establish upper and lower bounds of the linearized solutions of the Euler-Poisson system near Couette flow. In particular, inviscid damping for the solenoidal component of the velocity is obtained.",

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AU - Bian, Dongfen

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N2 - 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 T × R . We establish upper and lower bounds of the linearized solutions of the Euler-Poisson system near Couette flow. In particular, inviscid damping for the solenoidal component of the velocity is obtained.

AB - 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 T × R . We establish upper and lower bounds of the linearized solutions of the Euler-Poisson system near Couette flow. In particular, inviscid damping for the solenoidal component of the velocity is obtained.

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Linear stability analysis of the Couette flow for the two dimensional Euler-Poisson system

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