I don't think that universe will ever end.
If God, as creator of universe, is eternal, universe is also eternal.
This depends on what God has in mind.
God is tremendously great, beyond imagination. Making a universe like this one is something simple for Him.
Among the reasons that He does things is His own enjoyment. He enjoys when people freely interact with each other and with Him.
Since people in their freedom have resigned themselves to wickedness and destruction (at least some people have), and in such a way that it is in our genes (so we all have, slightly), God will destroy the universe at some time, simply to get rid of every taint of wickedness and destruction that is in it.
There will be a new heavens and a new earth, a new universe that has no wickedness or destruction in it. Some of us will be there, with God, forever.