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 $t$. The major difference from our previous work is the time-dependence of the flow and an application to homogenization of the G-equation.

中文翻译：

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随时间变化的水域中的弱鱼和 G 方程的同质化

我们研究以下控制问题。具有有限水上运动速度的鱼在快速水域中游泳。在合理的假设下，鱼能到达理想的目的地吗？它可以，即使流是时间相关的。此外，给定足够大的时间 $t$，它可以正好在 $t$ 时间出现。与我们之前工作的主要区别在于流动的时间依赖性和 G 方程均质化的应用。