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%.
& Fuentes, F.2015 Sum-of-squares of polynomials approach to nonlinear stability of fluid flows: An example of application.Proc
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
physics.flu-dyn 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
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%.