English

A survival guide for feeble fish

Optimization and Control 2016-06-07 v2 Analysis of PDEs Metric Geometry

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.

Cite

@article{arxiv.1605.01702,
  title  = {A survival guide for feeble fish},
  author = {Dmitri Burago and Sergei Ivanov and Alexei Novikov},
  journal= {arXiv preprint arXiv:1605.01702},
  year   = {2016}
}

Comments

v2: minor corrections and clarification

R2 v1 2026-06-22T13:54:10.921Z