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Algebra i Analiz, 2017, Volume 29, Issue 1, Pages 49–59 (Mi aa1521)  
This article is cited in 3 scientific papers (total in 3 papers)

Research Papers

A survival guide for feeble fish

D. Buragoa, S. Ivanovb, A. Novikova

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
Full-text PDF (179 kB) Citations (3)
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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.
Funding agency Grant number
National Science Foundation DMS-1205597
DMS-1515187
Russian Foundation for Basic Research 14-01-00062
The first author was partially supported by NSF grant DMS-1205597. The second author was partially supported by RFBR grant 14-01-00062. The third author was partially supported by NSF grant DMS-1515187.
Received: 15.05.2016
English version:
St. Petersburg Mathematical Journal, 2018, Volume 29, Issue 1, Pages 33–41
DOI: https://doi.org/10.1090/spmj/1480
Bibliographic databases:
Document Type: Article
Language: English
Citation: D. Burago, S. Ivanov, A. Novikov, “A survival guide for feeble fish”, Algebra i Analiz, 29:1 (2017), 49–59; St. Petersburg Math. J., 29:1 (2018), 33–41
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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