ratiocinator
Lightly seared on the reality grill.
It depends on what you mean and there are still unknowns to deal with. It seems as if the expansion of space is accelerating, so it's unlikely the universe will collapse into a 'big crunch'. Stars, galaxies and so on will not exist forever, so the far future universe may be a very boring place. However, unless you define the universe in terms of those things (stars, galaxies, etc.) then it probably will always exist.…but is not expected to always exist, in this view ?