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%.
McF.1907 The stability or instability of the steady motions of a perfect liquid and of a viscous liquid
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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%.