weep,
cry shed tears because of sadness, rage, or pain; "She cried bitterly when she heard the news of his death"; "The girl in the wheelchair wept with frustration when she could not get up the stairs"
blubber -
The thick coat of fat worn by many arctic animals, such as sea lions, and antarctic animals, such as penguins; used to insulate warmth in the animal's body.
Verb
blubber -
To make noises or broken words while crying.
blubber -
To swell or disfigure the face with weeping; to wet with tears.
Wikipedia
Blubber is a thick layer of vascularized fat found under the skin of all cetaceans, pinnipeds and sirenians.