The windshield wiper motor is protected by a circuit breaker and a fuse. If the motor overheats due to heavy snow, etc., the wiper will stop until the motor cools.
If the overload is caused by some electrical problem, have it fixed.
Headlamp Wiring
Power Windows and Other Power OptionsChevrolet Cobalt Service & Repair Manual. Cobalt & G5
Recommended Service
Service Interval
BODY
Inspect Lamps, Seat Belt & Warning Devices
At Least Once Every 6 Months
Lubricate Hinges, Latches, Lock Cylinders & Strikers
A ...