1.To lessen the intensity of something that pains or distress
Ex:The government has tried to assuage the public’s fears.
Stitha tried to assuage my fears.
2.To make an end
Ex. My physical hunger could be quite quickly assuaged, my mental starvation was a different matter.
3.To put to an end by satisfying
The development of new research directions might help to assuage the concerns of some commentators.