After the conclusion of the final test, smith apologized for his emotional behaviour and shown the world that, besides being captain of Australian cricket team, he is also a human being. Accepting ones own mistake and that too infront of whole world is an achievement in itself, besides that, Australinas always played the game in hard way and Virat should accept this and has to move on.
Smith showed total lack of understanding of how things happen on a cricket field when he objected to Vijay claiming a catch. VIjay has every right to claim it if he feels that there is a chance the ball didn't touch the ground first. He can't be the judge. The umpire has to be. Smith's apology came just in time and it was well delivered. As Sunny Gavaskar says, that has made Smith a big man.