D. Burago, S. Ivanov, A. Novikov, “A survival guide for feeble fish”, Algebra i Analiz, 2017, Volume 29, Issue 1,Pages <nobr>49

This article is cited in 3 papers

Research Papers

A survival guide for feeble fish

D. Burago^a, S. Ivanov^b, A. Novikov^a

^a The Pennsylvania State University, Department of Mathematics, University Park, PA 16802, USA
^b St. Petersburg Branch, Steklov Institute of Mathematics, Russian Academy of Sciences, Fontanka, 27, 191023, St. Petersburg, Russia

Abstract: 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.

Keywords: G-equation, small controls, incompressible flow, reachability.

Received: 15.05.2016

Language: English