Linear Stability and Inviscid Damping of Monotone Shear Flows for 2D Compressible Euler Equations

Zhile Li, Junyan Zhang, Lifeng Zhao

We study 2D compressible Euler equations linearized around monotone shear flows $(U(y),0)$ on $\mathbb{T}\times \mathbb{R}$. The shear rate $U^{\prime }$ is strictly positive, not necessar…