I was in a long distance relationship for 2 years before I moved to London to be with my significant other. We were 8 timezones and 6000 miles apart but it worked out in the end. We're still together and very happy.
It's really important you TRUST EACH OTHER and communicate as much as you can. You'll be living separate lives so you should try to constantly update each other about what is currently happening in your lives. That way the other person can still feel involved in your life.
People will tell you it won't work, but you need to believe it will. And if you don't believe it will, then don't get into it at all. It will not work. Most importantly, you need to set realistic goals regarding how you plan to end long-distance. Let's be real here. It will not work out if you stay separated forever. Make a plan to be with each other again after university.
Hope that helps.