Linear Stability Analysis of the Couette Flow for the Two Dimensional Non-Isentropic Euler-Poisson System

Authors

  • Xueke Pu School of mathematics and information science, Guangzhou University, Guangzhou, 510006, People's Republic of China https://orcid.org/0000-0001-9144-2792 (unauthenticated)
  • Xulong Wu School of mathematics and information science, Guangzhou University, Guangzhou, 510006, People's Republic of China
  • Lian Yang School of mathematics and information science, Guangzhou University, Guangzhou, 510006, People's Republic of China

DOI:

https://doi.org/10.37256/cm.6520256651

Keywords:

non-isentropic Euler-Poisson equations, Couette flow, linear stability, inviscid damping

Abstract

In the present paper, we study the linear stability of perturbations around the Couette flow for a two dimensional compressible non-isentropic Euler-Poisson system in the domain mceclip0-284d64bb0afe9943dae736508fea1028.png. A Lyapunov type instability result for the density and the temperature is obtained, and in particular, the inviscid damping for the solenoidal component of the velocity field is proved.

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Published

2025-09-30

Issue

Contemporary Mathematics, Volume 6 Issue 5 (2025), 5368-7533

Section

Research Article

Categories

License

Copyright (c) 2025 Xueke Pu, et al.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

1.
Linear Stability Analysis of the Couette Flow for the Two Dimensional Non-Isentropic Euler-Poisson System. Contemp. Math. [Internet]. 2025 Sep. 30 [cited 2025 Dec. 24];6(5):7305-24. Available from: https://ojs353.mebyme.cn/index.php/CM/article/view/6651