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The linear and renormalized nonlinear analysis of the temporal evolution ofdrift-type modes in plasma flows with strong time-varying velocity shear isdeveloped. Analysis is performed in the time domain without spectraldecomposition in time and admits time variation of the flow velocity with timescales which may be comparable with turbulent time scales. 52.35.Ra

Temporal evolution of drift-type modes in plasma flows with strong time-dependent velocity shear