Screen Crush has compiled a preview of 12 YA novel film adaptations scheduled to be released by the end of 2014. Of course, this means that you can expect to see a resurgence in popularity of these titles as the films come out.
There are some on the list that you know are going to be more popular than others - for example, Catching Fire, the second installment in The Hunger Games series will be enormously popular, as no doubt will be the City of Bones movie. Make sure your library has the books for when the films are released and it's never too early to start brainstorming for ways to incorporate the books/films into programs. If you do a book club, add it to the list so you've read it when the movie opens. You can also do a movie launch night, and incorporate snacks, activities and games related to the book/movie. Host a discussion group for people to meet at after watching the movie so they can talk about it - who doesn't love talking about a really great or really bad movie they've seen recently?
And don't forget - YA literature is becoming increasingly popular among adults (see Atlantic Wire's article, Adults Are Devouring Kids' Books for Good Reason). So, don't be surprised if you see interest from people in their 20s, 30s and above - an often very difficult group to engage in your library.