Special Session 83: 

Feeble fish in time-dependent waters and homogenization of the G-equation

Alexei Novikov
Penn State University
USA
Co-Author(s):    
Abstract:
We study the following control problem. Fish with bounded aquatic locomotion speed swims in fast waters. Can the 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. We give an application of this result to homogenization of the G-equation.