We study the following control problem. A fish with bounded aquatic locomotion speed swims in fast waters. Can this fish, under reasonable assumptions, get to a desired destination? It can, even if the flow is time dependent. Moreover, given a prescribed sufficiently large time t, it can be there at exactly the time t. The major difference from our previous work is the time dependence of the flow. We also give an application to homogenization of the G-equation.
All Science Journal Classification (ASJC) codes
- General Mathematics
- Applied Mathematics