The Uncertainty Principle, by Joshua Davis and Kal Kini-Davis

Mia, her little brother, and her parents are adrift on an old boat in the Caribbean and it is all Mia's fault.  When she had a breakdown at school, throwing food against the walls of the cafeteria, they decided it was time for a change of scene.  But Mia is not the only problem here.  Her mother is a germophobe and won't let them socialize with others so they stick to sparsely populated islands.  Mia spends her days perfecting a homegrown solar cell to power her equally homegrown satellite transmitter.  One day, she hopes to use it to call her best friend back at school to explain why she flew off the rails.

The uneasy status quo in Mia's family gets disrupted when they meet two unusual families, each of whom have a child about Mia's age who force her to make decisions that will change her life.

A quirky novel with an unusual father-and-son writing team.  From the acknowledgements, it would seem that the story is mostly from Kal (the son) while his father supervised and edited.  Regardless of who wrote what, I was suitably impressed by the depth that they gave Mia -- a young woman with a believable mix of insight and immaturity to make her truly interesting.  The supporting characters never get to do much but I didn't mind that as everything is really about Mia and her growth.