Work

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

Year: 2025

Type: article

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 . 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.

Source: Contemporary Mathematics

DOI: 10.37256/cm.6520256651

Authors: Xueke Pu, Xulong Wu, Lian Yang

Institution: Guangzhou University

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: National Natural Science Foundation of China, Natural Science Foundation of Guangdong Province

Awards: G3628046175, G4831724334