Most aurora videos are time lapse with individual frames being exposed for 10 to 30 seconds to gather as much light as possible. They have a lot of motion and are dramatic, but not terribly realistic if you've ever seen the real thing. A few people have recorded them in realtime using cameras with a lot of light gathering capability and sensors with large pixels. You aren't going to see this with your smartphone.
Here is a great example by Ole Salomonsen - it reminds me of the displays I've seen.