Boundary Driven Instabilities of Couette Flows

Dongfen Bian; Emmanuel Grenier; Nader Masmoudi; Weiren Zhao

doi:10.1007/s00220-025-05401-7

Boundary Driven Instabilities of Couette Flows

Dongfen Bian
, Emmanuel Grenier^*
, Nader Masmoudi
, Weiren Zhao

^*此作品的通讯作者

数学学院

New York University Abu Dhabi
New York University

科研成果: 期刊稿件 › 文章 › 同行评审

3 引用（Scopus）

摘要

In this article, we prove that the threshold of instability of the classical Couette flow in Hs for large s is ν1/2. The instability is completely driven by the boundary. The dynamic of the flow creates a Prandtl type boundary layer of width ν1/2 which is itself linearly unstable. This leads to a secondary instability which in turn creates a sub-layer.

源语言	英语
文章编号	221
期刊	Communications in Mathematical Physics
卷	406
期	9
DOI	https://doi.org/10.1007/s00220-025-05401-7
出版状态	已出版 - 9月 2025

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title = "Boundary Driven Instabilities of Couette Flows",

abstract = "In this article, we prove that the threshold of instability of the classical Couette flow in Hs for large s is ν1/2. The instability is completely driven by the boundary. The dynamic of the flow creates a Prandtl type boundary layer of width ν1/2 which is itself linearly unstable. This leads to a secondary instability which in turn creates a sub-layer.",

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AU - Grenier, Emmanuel

AU - Masmoudi, Nader

AU - Zhao, Weiren

N1 - Publisher Copyright: © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2025.

PY - 2025/9

Y1 - 2025/9

N2 - In this article, we prove that the threshold of instability of the classical Couette flow in Hs for large s is ν1/2. The instability is completely driven by the boundary. The dynamic of the flow creates a Prandtl type boundary layer of width ν1/2 which is itself linearly unstable. This leads to a secondary instability which in turn creates a sub-layer.

AB - In this article, we prove that the threshold of instability of the classical Couette flow in Hs for large s is ν1/2. The instability is completely driven by the boundary. The dynamic of the flow creates a Prandtl type boundary layer of width ν1/2 which is itself linearly unstable. This leads to a secondary instability which in turn creates a sub-layer.

UR - https://www.scopus.com/pages/publications/105012494494

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DO - 10.1007/s00220-025-05401-7

M3 - Article

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JO - Communications in Mathematical Physics

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Boundary Driven Instabilities of Couette Flows

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