Geodesic
On the metric graph model for flows in tubular nanostructures
Nanosistemy: fizika, himiâ, matematika, Tome 10 (2019) no. 1, pp. 6-11.

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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. 
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     author = {M. O. Smolkina and I. Yu. Popov and I. V. Blinova and E. Milakis},
     title = {On the metric graph model for flows in tubular nanostructures},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
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     publisher = {mathdoc},
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     number = {1},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NANO_2019_10_1_a0/}
}
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M. O. Smolkina; I. Yu. Popov; I. V. Blinova; E. Milakis. On the metric graph model for flows in tubular nanostructures. Nanosistemy: fizika, himiâ, matematika, Tome 10 (2019) no. 1, pp. 6-11. http://geodesic.mathdoc.fr/item/NANO_2019_10_1_a0/