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arXiv · 1712.08395

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

Dmitri Burago·Sergei Ivanov·Alexei Novikov
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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.

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Dmitri Burago, Sergei Ivanov, Alexei Novikov. 2017-12-22. Feeble fish in time-dependent waters and homogenization of the G-equation. https://arxiv.org/abs/1712.08395

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