In this paper, we prove the linear stability of the pipe Poiseuille flow for general perturbations at high Reynolds number regime. This has been a long-standing problem since the experiments of Reynolds in 1883. Our work lays a foundation for the theoretical analysis of hydrodynamic stability of pipe flow, which is one of the oldest yet unsolved problems in fundamental fluid dynamics. © 2022 Wiley Periodicals LLC.

中文翻译：

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高雷诺数下管道泊肃叶流的线性稳定性

在本文中，我们证明了管道泊肃叶流在高雷诺数状态下对于一般扰动的线性稳定性。自1883年雷诺兹的实验以来，这一直是一个长期存在的问题。我们的工作为管流流体动力学稳定性的理论分析奠定了基础，这是基础流体动力学中最古老但尚未解决的问题之一。© 2022 Wiley 期刊有限责任公司。