There is (was) a project called "flash4linux"
http://f4l.sourceforge.net/
don't know how good that is though. I've no interested in making fancy pages anymore
. It's not portable, it's usually heavy and very often overused on the net. You could always try wine and crossover office for those things too. I think Crossover supports Dreamweaver officially, can't remember if it supports Macromedia Flash though...
Take a look into Frank's Corner for some wine tutorials:
http://frankscorner.org/
Regards!