Global solution to a hyperbolic problem arising in the modeling of blood flow in circulatory systems

DOI10.1016/j.jmaa.2006.09.034zbMath1113.35118OpenAlexW2041209797MaRDI QIDQ878477

Meide Zhao, Anthony Curcio, Wei H. Ruan, Mark E. Clark

Publication date: 26 April 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.09.034

zbMATH Keywords

global solutionblood flowfrictional dampinghyperbolic systemcirculatory network

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Initial-boundary value problems for first-order hyperbolic systems (35L50) Physiological flow (92C35)

Related Items

Energy method for exponential stability of coupled one-dimensional hyperbolic PDE-ODE systems, A 1D arterial blood flow model incorporating ventricular pressure, aortic valve and regional coronary flow using the locally conservative Galerkin (LCG) method, Study of wave propagation in arterial blood flow under symmetry analysis, A coupled system of ODEs and quasilinear hyperbolic PDEs arising in a multiscale blood flow model, Nonlinear and linear hyperbolic systems with dynamic boundary conditions, Global smooth solution to a hyperbolic system on an interval with dynamic boundary conditions, Local well-posedness of a class of hyperbolic PDE–ODE systems on a bounded interval, Initial-boundary-value problem of hyperbolic equations for blood flow in a vessel, Dynamic transmission conditions for linear hyperbolic systems on networks

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