论文标题
在有限通道中的一类单调剪切流的非线性无粘性阻尼
Nonlinear inviscid damping for a class of monotone shear flows in finite channel
论文作者
论文摘要
我们证明了一类单调剪切流的非线性无粘性阻尼在$ t \ times [0,1] $中，用于gevrey- $ 1/s $（$ s> 2 $）类，并具有紧凑的支持。证明的主要思想是在选择精良的坐标系中使用略微修改的瑞利操作员的波动算子。
We prove the nonlinear inviscid damping for a class of monotone shear flows in $T\times [0,1]$ for initial perturbation in Gevrey-$1/s$($s>2$) class with compact support. The main idea of the proof is to use the wave operator of a slightly modified Rayleigh operator in a well chosen coordinate system.
