Miranda Kerr -- NECK INJURY in L.A. Car Crash

Miranda Kerr suffered injuries to her neck and back during a car wreck in L.A. on Monday ... this according to the model's rep.

Kerr was sporting a neck brace -- which she tried to cover with a scarf -- as she walked around L.A. Tuesday night ... after someone reportedly smashed into her car on an L.A. freeway.

Kerr's rep told Australia's 9 News, "She is in a lot of pain, but really we are just glad it was not more serious."

Neither Kerr's son Flynn nor her husband Orlando Bloom were in the car at the time of the crash -- but the rep says, "[Orlando is] taking very good care of her. He’s an amazing husband."

There are reports the other driver involved in the wreck was arrested for DUI -- but so far, we are unable to confirm those reports.

Story developing ...