Linear stability of pipe Poiseuille flow at high Reynolds number regime

Qi Chen; Dongyi Wei; Zhifei Zhang

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arXiv · 1910.14245

Linear stability of pipe Poiseuille flow at high Reynolds number regime

Qi Chen·Dongyi Wei·Zhifei Zhang

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Abstract

In this paper, we prove the linear stability of the pipe Poiseuille flow for general perturbations at high Reynolds number regime. This is 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 of fundamental fluid dynamics.

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Qi Chen, Dongyi Wei, Zhifei Zhang. 2019-10-31. Linear stability of pipe Poiseuille flow at high Reynolds number regime. https://arxiv.org/abs/1910.14245

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