Most likely no, as SEGA has moved on to other installments in the Sonic franchise.
There is a Sonic Adventure #1 and a Sonic Adventure #2.There is now a Sonic Adventure 3 - released in 2011 - the year of the Sonic 20th anniversary.
Technically, Sonic Unleashed is sort of Adventure 3; in Japan it is called Sonic World Adventure. Aside from that, it is not really clear if there's going to be one.
sonic adventure 3 is not for ps2 nor not out yet.
In your dreams
So far no but sonic unleashed was going to be named sonic adventure 3 but they scrapped that name for some reason.
Sonic Adventure 3 and it will be coming out to the playstation 3
Yes and no, They are going to make many new sonic games and Sonic Unleashed was origionally going to be named Sonic adventure 3, but I think in 1-3 years should bring it along. Besides, the Sonic Adventure series contained the only two "good" 3D sonic games. I am sorry buddy, but there is no definite date
Dr Eggman Nega appears in Sonic Rush Adventure and Sonic Rush 3, he is more crazy and insane and looks slightly different than Dr. Eggman.
there is sonic adventure 3
No the Sonic Adventure series ended in 2002 with the release of Sonic Adventure 2: Battle for Gamecube. There have been numerous rumors of a third Sonic Adventure being released but nothing has been released by SEGA to confirm them.
Sonic Adventure 3 has not been anounced
No if they were it would've already been done