One-dimensional multicomponent hemodynamics

DOI10.33048/SEMI.2020.17.133zbMath1460.35355OpenAlexW3113561342MaRDI QIDQ2227022

Alexander E. Mamontov, Dmitriy Alexeyevich Prokudin

Publication date: 9 February 2021

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33048/semi.2020.17.133

zbMATH Keywords

global existencemulticomponent fluidflow problemmass Lagrangian variablesblood vessel with elastic wallsinitial--boundary value problemone-dimensional hemodynamics

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Physiological flows (76Z05) Physiological flow (92C35) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Classical solutions to PDEs (35A09)

Cites Work

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• Solvability of a problem for the equations of the dynamics of one-temperature mixtures of heat-conducting viscous compressible fluids
• On the one-dimensional theory of blood flow in the larger vessels
• A wave propagation model of blood flow in large vessels using an approximate velocity profile function
• The Fluid Mechanics of Large Blood Vessels

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