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and his wife Katie Lee
may have legally separated last month, but Billy isn't quite ready to move on. According to Page Six
, Joel is devastated by the split and wants to win Katie back -- as one source claims, "Billy is obsessed with her."
Joel may not be happy about the separation, but the marriage definitely had its problems. The first: different lifestyles. Katie, who's a chef and food critic -- liked to go out and mingle with the rich and famous, while Billy would rather stay home. She wanted kids and a family; he didn't. And it didn't help that Katie often went out on the town without her husband, occasionally on the arm of designer Yigal Azrouel.
Said a source: Billy never wanted to go out with her. She wanted to have fun and promote herself, so she started hanging out with Yigal. They're not getting back together. She is trying to move on.
And moving on she is. Apparently at the recent Julie and Julia
premiere Katie was overheard talking about how she wanted to study cooking in Paris, and the next morning she was flirting openly with E! News correspondent Ben Lyons
Meanwhile, Joel has cancelled upcoming concerts with Elton John
. And as for reports that he's been romancing The Young and the Restless
star Alex Donnelley
? Guess it didn't work out, because any sparks seem to have died out early.
See more pictures of Billy Joel and Katie Lee (click any photo):