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Corpus ID: 207852794

Remark on a lower bound of perturbations in 2D inviscid shear flow in a periodic box.

@article{Yoneda2019RemarkOA,
title={Remark on a lower bound of perturbations in 2D inviscid shear flow in a periodic box.},
author={Tsuyoshi Yoneda},
journal={arXiv: Analysis of PDEs},
year={2019}
}

Bedrossian and Masmoudi (2015) showed nonlinear stability of 2D inviscid parallel shear flows in the infinite stripe $(\mathbb{R}/2\mathbb{Z})\times\mathbb{R}$. Inspired by their result, combining a diffeomorphism group result by Misio{\l}ek (1993), in this paper we give a lower bound of perturbations in 2D inviscid shear flow in a periodic box.

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