38 citations · 64 across the 7 of their papers we have counts for
4 papers · 1 filter
Energy Method and Stability of Shear Flows: an Elementary Tutorial
Antonio Barletta, Giuseppe Mulone
This paper provides a pedagogical introduction to the classical nonlinear stability analysis of the plane Poiseuille and Couette flows. The whole procedure is kept as simple as pos…
Nonlinear monotone energy stability of plane shear flows: Joseph or Orr critical thresholds?
Giuseppe Mulone
Critical Reynolds numbers for the monotone exponential energy stability of Couette and Poiseuille plane flows were obtained by Orr 1907 \cite{Orr1907} in a famous paper, and by Jos…
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…
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…