1. 缓和，减轻（不快）
If you assuage an unpleasant feeling that someone has, you make them feel it less strongly.

2. 满足（需要、欲望）
If you assuage a need or desire for something, you satisfy it.

1. provide physical relief, as from pain

e.g. This pill will relieve your headaches

Synonym: relievealleviatepalliate

2. satisfy (thirst)

e.g. The cold water quenched his thirst

Synonym: quenchslakeallay

3. cause to be more favorably inclined
gain the good will of

e.g. She managed to mollify the angry customer

Synonym: pacifylenifyconciliateappeasemollifyplacategentlegruntle