Abstract: There is now provide an ocean-going ship, and an ocean-going vessel with a stern tube seal arrangement for sealing a stern tube for a propeller drive shaft, and an arrangement for sealing propeller drive shafts in an ocean-going vessel. In the seal arrangement there is provided a compensation to balance pressure fluctuations that arise in the lubricating oil chamber due to axial oscillations of the shaft. In this, the change of pressure is determined by a sensor and this actual value is passed to a comparator element. The comparator element controls a pressure valve so as to control the extent of filling of an annular tubular expandable body, whereby the expandable body impacts on the lubricating oil chamber. By way of a phase shift of 180 degrees in reference to the sensed pressure impulse in the event of an increase in volume of the expandable body, a minimized pressure fluctuation in the lubricating oil chamber can be controlled.