Galaxy nope
but it depends on what happens and what order it happens when the engines flame out...and what speed the generators go off line.
It could of course slow up in altitude hold until they stop producing usable electrical and hydraulic power.
Since there have been several theories (reports?) of varying altitude I am assuming that there wasn't anyone flying her.
What I was suggesting that if the crew were incapacitated (or incapable of controlling the aircraft due to electrical problems) then for the aircraft to stay airborne for 7 hours and then crash it would probably descend in a controlled fashion and not nose dive at 10000fpm+ as has been suggested.