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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2020, Volume 17, Pages 1975–1989
DOI: https://doi.org/10.33048/semi.2020.17.133 (Mi semr1327) 		 
Differentical equations, dynamical systems and optimal control

One-dimensional multicomponent hemodynamics

A. E. Mamontov, D. A. Prokudin

Lavrentyev Institute of Hydrodynamics, 15, Lavrent'eva ave., Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.33048/semi.2020.17.133
Abstract: An overview of various hemodynamic models is given. A model of one-dimensional dynamics of blood as a multicomponent fluid is justified. An initial-boundary value problem is formulated which simulates the flow of blood through a given section of a blood vessel with elastic walls. The transition to Lagrangian variables is made. A result on the global existence of a solution to the problem is formulated.
Keywords: one-dimensional hemodynamics, multicomponent fluid, initial-boundary value problem, mass Lagrangian variables, global existence, flow problem, blood vessel with elastic walls.
Funding agency Grant number
Russian Science Foundation 19-11-00069
Received November 26, 2020, published December 3, 2020
Bibliographic databases:
Document Type: Article
UDC: 517.95
MSC: 35A05
Language: Russian
Citation: A. E. Mamontov, D. A. Prokudin, “One-dimensional multicomponent hemodynamics”, Sib. Èlektron. Mat. Izv., 17 (2020), 1975–1989
Citation in format AMSBIB
\Bibitem{MamPro20}
\by A.~E.~Mamontov, D.~A.~Prokudin
\paper One-dimensional multicomponent hemodynamics
\jour Sib. \`Elektron. Mat. Izv.
\yr 2020
\vol 17
\pages 1975--1989
\mathnet{http://mi.mathnet.ru/semr1327}
\crossref{https://doi.org/10.33048/semi.2020.17.133}
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