heat up vs intensify

heat up and intensify both are verbs.

Word	Noun	Adjective	Verb	Adverb
heat up	No	No	Yes	No
intensify	No	No	Yes	No

As verbs, intensify is a hypernym of heat up; that is, intensify is a word with a broader meaning than heat up:

Other hypernyms of heat up include compound, deepen, heighten.

heat up (verb)	intensify (verb)
make hot or hotter	become more intense
gain heat or get hot	make more intense, stronger, or more marked
make more intense	increase in extent or intensity
	make the chemically affected part of (a negative) denser or more opaque in order produce a stronger contrast between light and dark