Quartic Lyapunov functionals with mode decomposition certify 2D Poiseuille flow globally stable up to Re≈106.8 at the critical length, improving the 1907 energy bound by 22%.
& Chernyshenko, S.2022 Global stability of fluid flows despite transient growth of energy.Phys
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Improved global stability bounds for two-dimensional plane Poiseuille flow
Quartic Lyapunov functionals with mode decomposition certify 2D Poiseuille flow globally stable up to Re≈106.8 at the critical length, improving the 1907 energy bound by 22%.