Disclosed is a method for continuous casting with a continuous casting annular mold. The method includes: providing a continuous annular casting mold having a superstructure secured over a chill, the superstructure including an overhang extending over the inner wall of the chill; cooling the inner wall surface of the chill; introducing a mixture of a lubricant and gas under pressure at the transition of the overhang and the inner wall surface of the chill. The mixture is introduced in a direction parallel to the inner wall surface of the chill. A molten material to be cast is introduced to the mold in a direction from above the superstructure. The cast material is drawn off from below the chill, and the mixture of gas and lubricant maintains a gap between the material to be cast and the inner wall surface of the chill. A continuous casting mold is also disclosed.