najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2019-10-1-6-11najo-525Research ArticleMATHEMATICSМАТЕМАТИКАOn the metric graph model for flows in tubular nanostructuresSmolkinaM. O.

Kronverkskiy, 49, Saint Petersburg, 197101 

vega14@mail.ruPopovI. Y.

Kronverkskiy, 49, Saint Petersburg, 197101 

popov1955@gmail.comBlinovaI. V.

Kronverkskiy, 49, Saint Petersburg, 197101 

irin-a@yandex.ruMilakisE.

P.O.Box 20537, CY-1678 Nicosia

emilakis@ucy.ac.cyITMO UniversityRussian FederationUniversity of CyprusCyprus201906082025101611Copyright © Smolkina M.O., Popov I.Y., Blinova I.V., Milakis E., 20252025Smolkina M.O., Popov I.Y., Blinova I.V., Milakis E.Smolkina M.O., Popov I.Y., Blinova I.V., Milakis E.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/525

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.

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The authors declare that there are no conflicts of interest present.