As avid anglers, the authors are interested in the survival chances of fish in turbulent oceans. This paper addresses this question mathematically. It is shown 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.
Original language
English
Pages (from-to)
33-41
Number of pages
9
Journal
St. Petersburg Mathematical Journal
Volume
29
Issue number
1
State
Published - 2018
Externally published
Yes
Research areas
G-equation, small controls, incompressible flow, reachability