Asymptotic models of the blood flow in arteries and veins

DOI10.1007/s10958-013-1505-4zbMath1296.76187OpenAlexW2037181230MaRDI QIDQ744498

D. Kharzeev

Publication date: 25 September 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-013-1505-4

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Physiological flows (76Z05) Physiological flow (92C35)

Related Items (6)

A one-dimensional model of flow in a junction of thin channels, including arterial trees ⋮ Transmission conditions in a one-dimensional model of bifurcating arteries with elastic walls ⋮ Spatially averaged haemodynamic models for different parts of cardiovascular system ⋮ One-dimensional model of viscoelastic blood flow through a thin elastic vessel ⋮ A one dimensional model of blood flow through a curvilinear artery ⋮ Modeling of a false aneurysm in an artery: equilibrium and development of a hematoma

Cites Work

• Unnamed Item
• Asymptotic solution of the Navier-Stokes problem on the flow of a thin layer of fluid
• Korn inequalities for a reinforced plate
• Asymptotic analysis of the Stokes flow with variable viscosity in a thin elastic channel
• Homogenization of a thin plate reinforced with periodic families of rigid rods
• Effective Equations Modeling the Flow of a Viscous Incompressible Fluid through a Long Elastic Tube Arising in the Study of Blood Flow through Small Arteries
• B<scp>IOFLUID</scp> M<scp>ECHANICS IN</scp> F<scp>LEXIBLE</scp> T<scp>UBES</scp>

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