This week's book giveaway is in the OO, Patterns, UML and Refactoring forum. We're giving away four copies of Refactoring for Software Design Smells: Managing Technical Debt and have Girish Suryanarayana, Ganesh Samarthyam & Tushar Sharma 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.