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We study the monotone nonlinear energy stability of\textit{magnetohydrodynamics plane shear flows, Couette and Hartmann flows}. Weprove that the least stabilizing perturbations, in the energy norm, are thetwo-dimensional spanwise perturbations and give some criti\-cal Reynoldsnumbers Re$_E$ for some selected Prandtl and Hartmann numbers. This resultsolves a conjecture given in a recent paper by Falsaperla et al.\cite{FMP.2022} and implies a Squire theorem for nonlinear energy: the lessstabilizing perturbations in the \textit{energy norm} are the two-dimensionalspanwise perturbations. Moreover, for Reynolds numbers less than Re$_E $ therecan be no transient energy growth.

Monotone energy stability of magnetohydrodynamics Couette and Hartmann flows