Linear Stability of Pipe Poiseuille Flow at High Reynolds Number Regime

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. (c) 2022 Wiley Periodicals LLC.

Automated summary

In this paper, we prove the linear stability of pipe Poiseuille flow for general perturbations at high Reynolds number regime. This has been a long-standing problem and our work lays a foundation for the theoretical analysis of hydrodynamic stability of pipe flow.