The invention relates to a bistable nematic liquid crystal matricial display device wherein the shift to one of the at least two bistable states is carried out by displacing the liquid crystal parallel to the surfaces of the device, characterized by the fact that it comprises a system for addressing various elements of the display device, characterized in that it comprises a system for addressing the various elements of the display device such that it does not simultaneously shift two adjacent elements located in the direction in which the material flows. The invention also relates to a display method. The invention makes it possible to control the grey level by controlling the scan rings of the hydrodynamic flow in order to define the border between two different textures.