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 Owners Manual. Fuses and Circuit Breakers
The wiring circuits in the vehicle are protected from
short circuits by a combination of fuses, circuit breakers
and fusible thermal links. This greatly reduces the
chance of damage caused by electrical problems.
Look at the silver-colored band inside the fuse. If the
band is broken or melted, ...