The phrase "an incessant stream" is correct and usable in written English.
It can be used to describe a continuous and unending flow of something, such as thoughts, people, or information.
Example: "The city was filled with an incessant stream of traffic, making it difficult to navigate the streets."
Alternatives: "a constant flow" or "an unending stream".
French bashing - an incessant stream of negative reporting and commentary - is one of the staples of the British media.
Such transactions are front-page news and the activities of popular authors are the subject of an incessant stream of publicity.
He has a grip over appointments to the cabinet and he sends an incessant stream of advice to ministers and members of Parliament.
Its severely restricted collection of unpitched timbres (the player strikes a gong and three cymbals in an incessant stream of rhythm) has its antecedents in compositions by James Tenney and Alvin Lucier, but the work's brave exploration of expressive territory makes it memorable.
Buy software with oppressive licenses and an incessant stream of sales people trying to sell you one more software suite?
Hamilton's salty mouth rains an incessant stream of verbal, racist barbs at Parker, who hurls his own supply of biting words back at his friend.
He got back on his emblematic bus, the Straight Talk Express, chatting with the few reporters who continued to cover him and working to persuade the state's voters one by one in a seemingly incessant stream of town-hall-style meetings.
Yet the Amazon produces an incessant flow of martyrs, most quickly forgotten.
Hospitals here must treat an incessant flow of casualties.
That vast emptiness has stimulated the public to create its own self-portrait in the incessant stream of fantasies that people have been sketching around this site since Sept. 11.
In time, though, their message broke through the incessant stream of moral outrage and general anger that clogs so much of the Internet, and my perspective shifted.
