calm down vs assuage

calm down and assuage both are verbs.

Word	Noun	Adjective	Verb	Adverb
calm down	No	No	Yes	No
assuage	No	No	Yes	No

As verbs, assuage is a hyponym of calm down; that is, assuage is a word with a more specific, narrower meaning than calm down:

Other hyponyms of calm down include lull, compose, appease, conciliate, gentle, gruntle, lenify, mollify, pacify, placate.

calm down (verb)	assuage (verb)
become quiet or less intensive	provide physical relief, as from pain
make calm or still	satisfy (thirst)
become quiet or calm, especially after a state of agitation	cause to be more favorably inclined; gain the good will of