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arXiv · 2001.08564

Nonlinear inviscid damping for a class of monotone shear flows in finite channel

Nader Masmoudi·Weiren Zhao
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Abstract

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.

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BibTeXRIS

Nader Masmoudi, Weiren Zhao. 2020-01-23. Nonlinear inviscid damping for a class of monotone shear flows in finite channel. https://doi.org/10.4007/annals.2024.199.3.3

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