Just to let you know, Fosgate amps run hot as a ******* as it is, so if they get a little hot to the touch, then you could still be fine with them, just running them to their potential.
As for your situation with the one cutting out, thats obviously an issue. The most common reason is like what someone said about short circuits --it'll do it EVERY time.
Next, see what gauge wire you are running. Sounds like you have your channels bridged which cranks out a good 200W RMS each --400W.... 8 gauge wire will be pushing it here, so that may be it if you cant find any other installation problems.
Ohh, and ALWAYS check your connections. Keep them tight with plenty of fresh metal touching. Where you have your amps grounded to your cars chassis, file down the paint of the body so you can have a nice connection (if power is not EXITING the amp as well as it is going in, then that could be as big of a problem as having too small of wire).
Hope this helps, cause it can be really tricky to diagnose audio electrical issues.