A survival guide for feeble fish

TL;DR

This paper presents a mathematical analysis of fish survival in turbulent oceans, demonstrating that fish with limited speed can reach any point if ocean flow conditions meet specific criteria.

Contribution

It introduces a mathematical framework showing fish can navigate turbulent flows under certain fluid dynamics conditions, which was not previously established.

Findings

Fish with bounded speed can reach any point in certain ocean flows.

Incompressible, bounded fluid velocities with small mean drift enable fish navigation.

Provides a theoretical basis for fish survival strategies in turbulent environments.

Abstract

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 aquatic locomotion speed can reach any point in the ocean if the fluid velocity is incompressible, bounded, and has small mean drift.