Linear Stability Analysis of the Couette Flow for the Two Dimensional Non-Isentropic Euler-Poisson System
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 . 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.
Authors
- Xueke Pu (ORCID: https://orcid.org/0000-0001-9144-2792)
- Xin Wu (ORCID: https://orcid.org/0000-0002-1223-8978)
- Lian Yang (ORCID: https://orcid.org/0009-0005-0088-8999)
Institutions
- Guangzhou University (CN)
Publication Details
- Journal
- Contemporary Mathematics
- Published
- 2025-09-30
- DOI
- https://doi.org/10.37256/cm.6520256651
- Primary Topic
- Navier-Stokes equation solutions
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- Natural Science Foundation of Guangdong Province