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Nanosystems: Physics, Chemistry, Mathematics, 2019, Volume 10, Issue 1, Pages 6–11
DOI: https://doi.org/10.17586/2220-8054-2019-10-1-6-11 (Mi nano409) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

On the metric graph model for flows in tubular nanostructures

M. O. Smolkinaa, I. Yu. Popova, I. V. Blinovaa, E. Milakisb

a ITMO University, Kronverkskiy, 49, Saint Petersburg, 197101, Russia
b University of Cyprus, P.O.Box 20537, CY-1678 Nicosia, Cyprus
Full-text PDF (160 kB) Citations (1)
DOI: https://doi.org/10.17586/2220-8054-2019-10-1-6-11
Abstract: A metric graph model is suggested for the Stokes flow concentrated in the vicinity of a network embedded in R3. As a basic problem, we consider the case corresponding to strong variation of the viscosity and density in a cylinder of small radius. An equation for the main term of the asymptotics is obtained. As for a graph structure, coupling conditions are assumed at the graph vertices.
Keywords: stokes flow, metric graph.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 08-08
Russian Science Foundation 16-11-10330
Cyprus Research Promotion Foundation Excellence/1216/0025
This work was partially financially supported by the Government of the Russian Federation (grant 08-08), by grant 16-11-10330 of Russian Science Foundation. E. Milakis was partially supported by Research Promotion Foundation (Cyprus) grant no Excellence/1216/0025.
Received: 12.11.2018
Revised: 23.01.2019
Bibliographic databases:
Document Type: Article
Language: English
Citation: M. O. Smolkina, I. Yu. Popov, I. V. Blinova, E. Milakis, “On the metric graph model for flows in tubular nanostructures”, Nanosystems: Physics, Chemistry, Mathematics, 10:1 (2019), 6–11
Citation in format AMSBIB
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\by M.~O.~Smolkina, I.~Yu.~Popov, I.~V.~Blinova, E.~Milakis
\paper On the metric graph model for flows in tubular nanostructures
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2019
\vol 10
\issue 1
\pages 6--11
\mathnet{http://mi.mathnet.ru/nano409}
\crossref{https://doi.org/10.17586/2220-8054-2019-10-1-6-11}
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\elib{https://elibrary.ru/item.asp?id=37035512}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Nanosystems: Physics, Chemistry, Mathematics
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