Inviscid Damping of Monotone Shear Flows for 2D Inhomogeneous Euler Equation with Non-Constant Density in a Finite Channel

期刊论文
发表日期：

2025年1月31日

查看全文

Weiren Zhao

摘要

We prove the nonlinear inviscid damping for a class of monotone shear flows with non-constant background density for the two-dimensional ideal inhomogeneous fluids in $\mathbb {T}\times [0,1]$ $T \times [0, 1]$ when the initial perturbation is in Gevrey- $\frac{1}{s}$ $\frac{1}{s}$ ( $\frac{1}{2}<s<1$ $\frac{1}{2} < s < 1$ ) class with compact support.