The monster-child will continue his tantrum, and the Democrats will hold fast on refusing to fund the idiotic border wall.  But the shutdown will start to affect things that matter, even to Republicans, like air travel.  At that point–and we are surely nearing it–enough Republicans will override a veto and vote to reopen the government.  It's possible that if and when that becomes apparent, the monster-child will back off, but who knows with him?