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Traveling waves in a one-dimensional model of hemodynamics

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Publication:891553
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DOI10.1134/S0021894414060029zbMath1329.76411MaRDI QIDQ891553

Alexander P. Chupakhin, Alexander A. Cherevko, A. M. Barlukova

Publication date: 17 November 2015

Published in: Journal of Applied Mechanics and Technical Physics (Search for Journal in Brave)


zbMATH Keywords

singular pointtraveling wave solutionsoscillating solutionsviscoelastic tubeone-dimensional equations of hemodynamics


Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Physiological flows (76Z05) Physiological flow (92C35)


Related Items (3)

One-dimensional multicomponent hemodynamics ⋮ Existence of solitary solutions in a class of nonlinear differential equations with polynomial nonlinearity ⋮ Stability of an elastic tube conveying a non-Newtonian fluid and having a locally weakened section



Cites Work

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  • One-dimensional models for blood flow in arteries
  • Existence of a weak solution to a nonlinear fluid-structure interaction problem modeling the flow of an incompressible, viscous fluid in a cylinder with deformable walls
  • The Fluid Mechanics of Large Blood Vessels


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