The island is visited by a continuous/constant/steady 'stream of' tourists.
I could feel the cold air 'streaming' in through the crack in the window.
unusual weather patterns caused by changes in the 'jet stream'
(..) So is anybody surprised that south of the border they're laughing at us? - Laughing at our laws. - Yeah. Every night these parasites stream across the border... ...like some fucking pinata exploded. MEN: Ha-ha-ha. - Don't laugh! There's nothing funny going on here. This is about your life and mine. (..)1998 American History X