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arXiv · 1509.08228

Linear inviscid damping for a class of monotone shear flow in Sobolev spaces

Dongyi Wei·Zhifei Zhang·Weiren Zhao
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Abstract

In this paper, we prove the decay estimates of the velocity and $H^1$ scattering for the 2D linearized Euler equations around a class of monotone shear flow in a finite channel. Our result is consistent with the decay rate predicted by Case in 1960.

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Dongyi Wei, Zhifei Zhang, Weiren Zhao. 2015-09-28. Linear inviscid damping for a class of monotone shear flow in Sobolev spaces. https://arxiv.org/abs/1509.08228

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