+1 for details.
One question, does it do it immediately after stopping and restarting the vehicle or after it's been sitting after the first initial recharge?
Either way, to me, it sounds like a leak. Especially with the dropping of pressure and inability to maintain a constant pressure as well.
I'm currently having a similar problem with mine.
I finally discovered a leak coming from the evap core. Mine lasts about a day and a half before it goes to short cycles and no cold air. It could be the same problem but it could also be something else.
Evap core is just in the back of the engine bay of the passenger side against the firewall, right in front of the accumulator and beside the blower.
Have you tried using a sniffer or know someone with access to one ? It can help diagnose if there is a leak in the system, especially if it can't be visually seen.
Also, check your lines going to the compressor and make sure there aren't any leaks around the o-rings.
I hope this helps in some way