Linear Stability of Pipe Poiseuille Flow at High Reynolds Number Regime |
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| Authors: | Qi Chen Dongyi Wei Zhifei Zhang |
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| Affiliation: | School of Mathematical Science, Peking University, 100871 Beijing, P. R. China |
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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 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. |
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