The One After Joey And Rachel Kiss - S10-E1
Continuity mistake: When Ross and Charlie are sitting on the bed it shows Charlie fixing her T-shirt. In the very next shot her hands are on her lap. (00:04:25)
The One After Joey And Rachel Kiss - S10-E1
Continuity mistake: Chandler, Monica and Phoebe are shown listening at the wall between their room and the room Ross is in with Charlie. However, when Ross comes into the room, the outside hallway is shown, and it is clear that the wall they were listening at actually connects to the hallway, not another room. Ross even walks in that direction when he leaves, proving it's not a dead end or similar. (00:05:30)
The One After Joey And Rachel Kiss - S10-E1
Continuity mistake: At the end, Ross walks into Joey's apartment, he walks past the door. Next shot he is level with the middle of the door. (00:27:00)
The One After Joey And Rachel Kiss - S10-E1
Continuity mistake: At the end of this episode, Ross enters the door of Joey's apartment and finds Rachel and Joey kissing. Rachel says "I'm so sorry". The next episode, The One When Ross Is Fine, shows the same scene but it has been changed: Rachel never says "I'm so sorry". Joey starts talking when Ross enters the room.
Answer: The painting doesn't have a name, and if it does it is never mentioned in this episode.