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
- 1 January 2003
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Applied Dynamical Systems
- Vol. 2 (3) , 431-463
- https://doi.org/10.1137/s1111111102411286
Abstract
No abstract availableKeywords
This publication has 10 references indexed in Scilit:
- Mathematical analysis of the quasilinear effects in a hyperbolic model blood flow through compliant axi‐symmetric vesselsMathematical Methods in the Applied Sciences, 2003
- Blood flow through compliant vessels after endovascular repair: wall deformations induced by the discontinuous wall propertiesComputing and Visualization in Science, 2002
- Numerical Simulation and Experimental Validation of Blood Flow in Arteries with Structured-Tree Outflow ConditionsAnnals of Biomedical Engineering, 2000
- Computational vascular fluid dynamics: problems, models and methodsComputing and Visualization in Science, 2000
- On the effective equations of a viscous incompressible fluid flow through a filter of finite thicknessCommunications on Pure and Applied Mathematics, 1998
- Mathematical PhysiologyPublished by Springer Nature ,1998
- Mathematical derivation of the power law describing polymer flow through a thin slabESAIM: Mathematical Modelling and Numerical Analysis, 1995
- Unsteady Stokes Flow in a Distensible PipeZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1991
- Perturbations Singulières dans les Problèmes aux Limites et en Contrôle OptimalPublished by Springer Nature ,1973
- Theory of Propagation of Elastic Waves in a Fluid-Saturated Porous Solid. I. Low-Frequency RangeThe Journal of the Acoustical Society of America, 1956