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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…
math-ph2023
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,…