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. Multi-Function Switch, Replace
1.
Remove steering column trim covers.
2.
Remove multi-function switch retaining
screws.
3.
Disconnect multi-function switch electrical
connector, then remove switch from column.
...