At the end of the movie 'Blue Valentine', as 'Dean' walked away from the home and sending their daughter back to 'Cindy' mean that they separate (divorce or something)?
Or does it mean anything else as you think?
Since it's my all time favorite movie, I've done a lot of research on this one. As per your question, movie ends when Dean walks away crying from Cindy and Frankie. And the ending of the movie is left to viewers opinion. It's an open end.
In the end, Cindy cursed Dean that she wants a fucking divorce and Dean tries to convince her and tells her that he doesn't want Frankie to grow up in a broken home and Cindy tells that she needs space but she doesn't persists that she wants a divorce.
So, based on the scene I mentioned, as an optimist, I thought Cindy and Dean would get back together.
Now, I'll tell you why Derek Cianfrance (director of this movie) wanted to make Blue Valentine and what he has in his mind. In an interview, Derek was asked whether his parents were divorced and he answered:
By the above answer, it is obvious that he wanted to make a movie about the problems in marriages and how it ends with a divorce.
In IMDb trivia, it mentioned;
In another source here states that;
And Derek Cianfrance said;
In the question, you asked, "does it mean anything else as you think?" and despite all the speculations above, I think, Dean and Cindy will get back together.
Like what Moe said, their relationship never worked out. it's pretty obvious Dean loves Cindy so much that he would do anything for her(example: marry her even he found out the daughter isn't his. He also begged her if he can do anything to make things better.) On the other hand, Cindy is selfish to me, notice whenever she doesn't like something, she says "stop it". I mean its ok to stop someone if you disagree what he is doing but that brings out her characteristic. She only cares about herself, since she doesnt care about her family at all. She didnt managed to abort because she was afraid to do it. Its like everything has to base on her preference. She didnt care about her daughter's breakfast, show, etc. She needed Dean because she knew she had a baby and she didnt know what to do. Also, she had to explain to her parents about her baby. It would've been tough if Dean never appeared in her life. That's also the main reason why she accepted Dean's propose.
At the beginning of their relationship, I can tell Cindy likes him because of his passion and characteristic. She told Dean to do something cuz she thought he has potential to be a "successful" guy. However, Dean doesn't share the same view,he said" I didn't want to be your husband." but he had to cuz he promised for what he said. He quit high school cuz he thought he couldnt find his life goal through big money and knowledge. He wouldn't mind working as a painter with low income. In my opinion, all he wants is a family with who he loves( his daughter and Cindy) but nothing else. To me, Cindy is selfish and a girl who won't think a step ahead, she does what she feels the most comfy. I also think, they did love each other, but the feeling was doubtful and temporary.
I have never seen such a sad movie, my heart literally broke at the middle of the film. I was like 'why Dean, why are u being such a good man! Why are u that stupid'. However, love is the thing makes people stupid and nonsense. Dean surely doesn't deserve that, but love is what makes him a person. It's life.