Linear stability analysis of the Couette flow for the 2D Euler-Poisson system
Analysis of PDEs
2024-01-31 v1
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 . 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.
Cite
@article{arxiv.2401.17102,
title = {Linear stability analysis of the Couette flow for the 2D Euler-Poisson system},
author = {Xueke Pu and Wenli Zhou and Dongfen Bian},
journal= {arXiv preprint arXiv:2401.17102},
year = {2024}
}