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math.OC2017
Feeble fish in time-dependent waters and homogenization of the G-equation
Dmitri Burago, Sergei Ivanov, Alexei Novikov
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…
math.OC2016
A survival guide for feeble fish
Dmitri Burago, Sergei Ivanov, Alexei Novikov
As avid anglers we were always interested in the survival chances of fish in turbulent oceans. This paper addresses this question mathematically. We show that a fish with bounded a…