run after
US /rʌn ˈæf.tər/
UK /rʌn ˈæf.tər/

1.
correr atrás de, perseguir
to chase or pursue someone or something
:
•
The dog loves to run after squirrels in the park.
O cachorro adora correr atrás de esquilos no parque.
•
She had to run after her child who suddenly darted into the street.
Ela teve que correr atrás do filho que de repente disparou para a rua.
2.
correr atrás de, buscar
to try to achieve or obtain something, often with great effort
:
•
Many young people run after fame and fortune.
Muitos jovens correm atrás da fama e da fortuna.
•
He's always running after the latest trends.
Ele está sempre correndo atrás das últimas tendências.