run after

US /rʌn ˈæf.tər/
UK /rʌn ˈæf.tər/
"run after" picture
1.

追逐, 追赶

to chase or pursue someone or something

:
The dog loves to run after squirrels in the park.
这只狗喜欢在公园里追逐松鼠。
She had to run after her child who suddenly darted into the street.
她不得不追赶突然冲到街上的孩子。
2.

追求, 追逐

to try to achieve or obtain something, often with great effort

:
Many young people run after fame and fortune.
许多年轻人追求名利。
He's always running after the latest trends.
他总是追逐最新的潮流。