This week's book giveaways are in the Refactoring and Agile forums. We're giving away four copies each of Re-engineering Legacy Software and Docker in Action and have the authors on-line! See this thread and this one for details.
Catch them and reconnect? If a connection dies, the application will throw an exception after some timeout value. You can catch these exceptions and decide a recovery path. You could also set up a polling thread to monitor the database status although this might be overkill.