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

Tsuyoshi Yoneda

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arXiv · 1911.00834

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

Tsuyoshi Yoneda

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Abstract

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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Tsuyoshi Yoneda. 2019-11-03. Remark on a lower bound of perturbations in 2D inviscid shear flow in a periodic box. https://arxiv.org/abs/1911.00834

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