38 citations · 64 across the 7 of their papers we have counts for
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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…
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…
Monotone energy stability of magnetohydrodynamics Couette and Hartmann flows
Giuseppe Mulone
We study the monotone nonlinear energy stability of \textit{magnetohydrodynamics plane shear flows, Couette and Hartmann flows}. We prove that the least stabilizing perturbations,…
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…