A Boussinesq model for pressure and flow velocity waves in arterial segments

DOI10.1016/j.matcom.2010.03.009zbMath1320.92039OpenAlexW1988792517MaRDI QIDQ435815

Radu C. Cascaval

Publication date: 12 July 2012

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2010.03.009

zbMATH Keywords

reflection and transmission coefficientsBoussinesq-type systempressure waves in arteries

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Physiological flows (76Z05) Physiological flow (92C35)

Related Items

On boundary optimal control problem for an arterial system: existence of feasible solutions ⋮ Swirling fluid flow in flexible, expandable elastic tubes: variational approach, reductions and integrability ⋮ Flow optimization in vascular networks ⋮ Asymptotic nonlinear and dispersive pulsatile flow in elastic vessels with cylindrical symmetry ⋮ On some model equations for pulsatile flow in viscoelastic vessels ⋮ Well-posedness, ill-posedness, and traveling waves for models of pulsatile flow in viscoelastic vessels

Cites Work

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• One-dimensional modelling of a vascular network in space-time variables
• A Boussinesq system for two-way propagation of nonlinear dispersive waves
• Fission of a weakly nonlinear interfacial solitary wave at a step

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