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The stability of shear flows of electrically conducting fluids, with respectto finite amplitude three-dimensional localized disturbances is considered. Thetime evolution of the fluid impulse integral, characterizing such disturbances,for the case of low magnetic Reynolds number is obtained by integratinganalytically the vorticity equation. Analysis of the resulted equation revealsa new instability criterion.Comment: 10 pages in LaTex, no figures, accepted in Phys. Fluid

An instability criterion for a finite-amplitude localized disturbance in a shear flow of electrically conducting fluids