This week's book giveaway is in the OCAJP 8 forum. We're giving away four copies of OCA Java SE 8 Programmer I Study Guide and have Edward Finegan & Robert Liguori on-line! See this thread 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.