Convective modes in plasma with the strong shear of E x B drift velocity

The convective modes of an inhomogeneously drifting plasma in a shear magne tic field (a generalization of Suydam's problem) is considered. It is shown that a sufficiently great shear of E x B velocity drift suppresses the ins tability in the case of an arbitrary 'magnetic hill'. This result can be co nsidered again as a Rayleigh theorem analogue.