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• W4383313605 abstract "We study the monotone nonlinear energy stability of textit{magnetohydrodynamics plane shear flows, Couette and Hartmann flows}. We prove that the least stabilizing perturbations, in the energy norm, are the two-dimensional spanwise perturbations and give some criti-cal Reynolds numbers Re$_E$ for some selected Prandtl and Hartmann numbers. This result solves a conjecture given in a recent paper by Falsaperla et al. cite{FMP.2022} and implies a Squire theorem for nonlinear energy: the less stabilizing perturbations in the textit{energy norm} are the two-dimensional spanwise perturbations. Moreover, for Reynolds numbers less than Re$_E $ there can be no transient energy growth." @default.
• W4383313605 created "2023-07-07" @default.
• W4383313605 creator A5024161976 @default.
• W4383313605 date "2023-07-06" @default.
• W4383313605 modified "2023-09-27" @default.
• W4383313605 title "Monotone energy stability of magnetohydrodynamics Couette and Hartmann flows" @default.
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• W4383313605 doi "https://doi.org/10.1007/s11587-023-00789-7" @default.
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