Meaning of “keep up” - Learner’s Dictionary

keep up

phrasal verb with keep uk us /kiːp/ verb (past tense and past participle kept)
SAME SPEED

B2 to move at the same speed as someone or something that is moving forward so that you stay level with them:

She was walking so fast I couldn't keep up with her.
MAKE PROGRESS

to increase or make progress at the same speed as something or someone else so that you stay at the same level as them:

Prices have been rising very fast and wages haven't kept up.
UNDERSTAND

B2 to be able to understand or deal with something that is happening or changing very fast:

I feel it's important to keep up with current events.

(Definition of “keep up” from the Cambridge Learner’s Dictionary © Cambridge University Press)