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. Windshield Wipers
The windshield wiper lever is on the right side of the
steering column.
Move the lever to control the windshield wipers.
(Off): Turns the windshield
wipers off.
(Intermittent; Speed Sensitive
Wipers): For
intermittent or speed sensitive operation. The amount
of delay time varies betwee ...