Suppose that, during a trip, a small boat has an engine failure and stops at sea, with no means to communicate and ask for help. After some time, the disappearance of the boat is reported to the authorities, who decide to start the search and rescue activities using only maritime resources. The sea is calm and it is possible to predict that the boat must have to be adrift in a certain region, which, however, can be very wide. The aim of this project is to show that it is possible to have a good prevision of the location of the boat from appropriate informations on the state of the water in the surface, far way from the boat. More precisely, using a set of measurements of velocity and pressure of the water and an algorithm described in the course, the objective is to find the location of the lost boat.

__Preferred mathematical background:__ Partial Differential Equations and Numerical Analysis