Yes, they do. LDRs work as well or as poorly as any other relationship. Being physically separated seems to have very little or no impact in one way or other on the relationship.
The key is to stay positive, stay optimistic. Don’t listen to anyone who tells you that long distance relationships don’t work. The assumption that long distance relationships don’t work is enough to sabotage it. Moreover, the question to ask is not whether long distance relationships work, but whether you want to make it work. Are you willing to put in the effort required to make it work?
"It takes work and dedication, even more so than a regular relationship does. But if you are both really in love and are dedicated to each other, you should be able to do it."
Everytime you see something which brings out a ‘wow’ from you, you will terribly miss your partner and wish there were here to share this. And missing is good. Missing your partner simply means you want him/her to be with you.