Title: Feeble fish in time-dependent waters and homogenization of the G-equation,
Abstract: 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.