There is no reason why the CoolSmooth applicator can't be used on the abdomen. How effective it will be depends on the amount of fat you are trying to treat. Because the CoolSmooth lies on the surface of the skin and the fat is still in contact with the warmth of the underlying muscles, it cannot treat as much fat at once as the original, sucking applicator can. Please consult a board-certified dermatologist to find out which technique and applicator is best to help you sculpt the body shape you desire.
I recommend the CoolSmooth applicator on the abdomen if the layer of fat is thick. When the layer is thick, it will not be drawn into the applicator as easily, and a smaller area will be treated. The CoolSmooth treatment takes longer but may there may be less discomfort at the beginning and after the treatment with this applicator. If your fat layer is not thick, you might want to allow the doctor to use a CoolMax or CoolCurve applicator.I do hope this helps to answer your question!