0 to gradually end:
1 to finish slowly in a way that is disappointing or has become less interesting:
There is often an initial indication of interest, but then it fizzles out and no cash materialises.
The rocket motor has fizzled out like a damp squib.
They have fizzled out and, as has been suggested, the two colonels now are in comparative amity.
We made a feeble start in the schools with secondary technical schools, and it fizzled out.
Very often the largest and reddest rocket, when the match was applied, only fizzled.
The pilot studies of take-up seem to have fizzled out.
They persisted with that, and then the great welfare reform campaign fizzled out into chatter about anti-fraud measures.
The attempt fizzled out, as attempts in all parts of the country have fizzled out.