Tubing mascara coats each individual lash with a special polymer that dries into a tube. These formulas are less prone to smudging, although individual tubes do sometimes fall off throughout the day.  Tubing mascaras have to be removed with warm water. You can also try a cake mascara. These old-fashioned mascaras are less likely to clump or smudge than mascara that comes in applicator tubes.

Summary:
Try a tubing mascara if regular mascara isn't working.