Maintain a low profile, be prepared to protect what is yours, not just property but family. When people form mobs, they do not behave rationally. Be prepared for irrational behavior. It also provides cover for criminals, be the hard target so they want to go somewhere else. Be aware, but do not enter their awareness if you can help it.

The rest is much like weathering a hurricane, batten the hatches and have what you need for a few days. Communications may still be working, so stay in touch with somebody outside the emergency area.