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arXiv · 2105.07395

Linear stability analysis of the Couette flow for the two dimensional non-isentropic compressible Euler equations

Xiaoping Zhai
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Abstract

This note is devoted to the linear stability of the Couette flow for the non-isentropic compressible Euler equations in a domain $\mathbb{T}\times \mathbb{R}$. Exploiting the several conservation laws originated from the special structure of the linear system, we obtain a Lyapunov type instability for the density, the temperature, the compressible part of the velocity field, and also obtain an inviscid damping for the incompressible part of the velocity field.

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Xiaoping Zhai. 2021-05-16. Linear stability analysis of the Couette flow for the two dimensional non-isentropic compressible Euler equations. https://arxiv.org/abs/2105.07395

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