The Epic is not compatible with Adobe Flash at this time. Once it get's upgraded to Froyo(Android 2.2) it will be.
According to the latest official Samsung info I can find they are only saying "By the end of this year".
So Dec 31st at the latest.
Painful yes. But hopefully an accurate statement.
There is SO much riding on a successful Flash player deployement for this phone.... and others. Plus 2.2 of course.
I would say a working Flash player on Android phones might even be more important in the industry right now than the release of 2.2.
But... that is just an opinion.