Cold side of faucet, when turned on, occasionally stops flowing.

indicates water hammer in the pipes or faulty stop washers in the taps allowing the vibration from escaping water under the tap washer
ha a plumber reseat all taps and fit new washers

check other hot water taps to check hot water is flowing from the hot water system(tap on heater not turned off)
check faucet handle is put on in the right place --only 1/2 movement to the stop
check for blockage to the hot water side of the insert ( incorrectly installed )
still with problems --call a plumber

Most class a mtorhomes have water valves in your water fill bay that have controls for all faucets. There is separate one for hot and cold.
the hot would be turned off for storage to allow you to drain the hot water heater for storage.
there may be hot water valve for all faucets or one valvefor each faucet.

If the water actually stops running it might be a problem in the internal balancing valves. Some valves will restrict flows of the other water-supply: If there is slow hot water it throttles the cold water, if there is slow cold water it throttles the hot water. It is meant to stop the screaming in the shower if a toilet for example is flushed and the cold water pressure drops. Some but not all valves can be taken apart and cleaned. Turn off both shut off vavles first!

Sounds like there is loose solder in the supply pipes. You would have to disconnect the flexs and blow it out.

if this is the faucet in picture, turn off water, pull out cartridge and inspect for any debris in cartridge or valve body, if not, turn on hot water to see if water is getting through valve body. May have kinked line or debris from or in angle stop line.

grohe is a faucet all by itself ,,, I would recomend to have you call there repair dept. and explain this to them, you said you put in the new cartridge and thats about all there is to it, when you put on the handle make sure it is not over tightened, sometimes it pulls on the cartridge and makes it come on by itself good luck

Usually happens when the stops and not ballanced(hot and cold pressures going to the faucet). Try ajusting the stops; open more on the hot or close more on the cold. 

It could be one of two problems, one simple, one serious.

• Easy fix
  

1. Turn off hot water angle stop under sink to faucet.
2. Remove supply line from hot angle stop.
3. Place end of supply line in a small bucket to catch some water.
4. Turn on cold water for a couple of seconds and backflush debris from faucet.
5. Reconnect supply line.
6. Turn on angle stop and test
   

• Complex fix

If you have steel pipes you may be experiencing reduced flow due to corrosion in your pipes. Reduced hot water pressure in the kitchen faucet is usually the first sign since this is the faucet that is most used in the home.

Repiping is a job for a professional. Another symptom you may need a repipe is orange colored or rusty water.