3 papers
math-ph2023
Monotone energy stability for Poiseuille flow in a porous medium
Giuseppe Mulone
We study the monotone energy stability of ``Poiseuille flow" in a plane-parallel channel with a saturated porous medium modeled by the Brinkman equation, on the basis of an analogy…
math-ph2023
Squire's theorem for nonlinear monotone energy stability
Giuseppe Mulone
The Squire's theorem holds for parallel shear flows governed by the linearized Navier-Stokes equations. Squire writes ``For the study of the stability of flow between parallel wall…
physics.flu-dyn2023
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…