Quoting Dr Sarah Jarvis in Good Housekeeping July 2015:
"Neuralgia is the medical name for nerve pain and trigeminal neuralgia (TN) affects the nerves in your face that vie sensation to most of your face and power to your chewing muscles. TN is mostly caused by a blood vessel pressing on the nerve. It results in shooting pains, usually around your jaw or cheek, which last for seconds but can happen up to 100 times a day, brought on by chewing, talking, or even wind on your face.
"Treatment is with tablets that work to damper nerve impulses. The first-line option is an anti-epileptic drug call 'carbamazepine'. It his doesn't work or you have side effects, alternatives include 'gabapentin' and 'lamotrigine'. If these don't work either, your doctor may recommend surgery to decompress the nerve to stop the nerve from sending pain signals".