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physics.flu-dyn2021★ 23 cited
Energy stability of plane Couette and Poiseuille flows and Couette paradox
Paolo Falsaperla, Giuseppe Mulone, Carla Perrone
We study the nonlinear stability of plane Couette and Poiseuille flows with the Lyapunov second method by using the classical L2-energy. We prove that the streamwise perturbations…
physics.flu-dyn2018★ 38 cited
Nonlinear stability results for plane Couette and Poiseuille flows
Paolo Falsaperla, Andrea Giacobbe, Giuseppe Mulone
In this article we prove, choosing an appropriately weighted -energy equivalent to the classical energy, that the plane Couette and Poiseuille flows are nonlinearly stable wit…