Geodesic
One-dimensional equations of motion of a viscous incompressible fluid in flexible tubes
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 12 (2012) no. 2, pp. 64-67 
Yu. P. Gulyaev. One-dimensional equations of motion of a viscous incompressible fluid in flexible tubes. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 12 (2012) no. 2, pp. 64-67. http://geodesic.mathdoc.fr/item/ISU_2012_12_2_a9/
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This paper describes a new variant of the averaging of the Navier–Stokes equations for axisymmetric flow of a viscous incompressible fluid with a minimum number of simplifying hypotheses. The complete system is spatially one-dimensional differential equations describing the dynamics of blood flow in the large arteries.

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[2] Gulyaev Yu. P., Kossovich L. Yu., Matematicheskie modeli biomekhaniki v meditsine, ucheb. posobie dlya stud. mekh.-mat. fak., Izd-vo Sarat. un-ta, Saratov, 2001, 49 pp.

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