# Asymptotic nonlinear and dispersive pulsatile flow in elastic vessels with cylindrical symmetry

@article{Mitsotakis2018AsymptoticNA, title={Asymptotic nonlinear and dispersive pulsatile flow in elastic vessels with cylindrical symmetry}, author={Dimitrios Mitsotakis and Denys Dutykh and Qian Li}, journal={Comput. Math. Appl.}, year={2018}, volume={75}, pages={4022-4047} }

## Figures and Tables from this paper

## 4 Citations

### On some model equations for pulsatile flow in viscoelastic vessels

- Engineering, MathematicsWave Motion
- 2019

### Well-posedness, ill-posedness, and traveling waves for models of pulsatile flow in viscoelastic vessels

- Mathematics
- 2022

We study dispersive models of fluid flow in viscoelastic vessels, derived in the study of blood flow. The unknowns in the models are the velocity of the fluid in the axial direction and the…

### Mathematical Modelling of Blood Flow in Arteries

- Mathematics
- 2019

Herein contained is an exploration into mathematical modelling pertaining to blood flow in arteries. Previous models are considered as well as a new model derived. Some properties of these new models…

### On boundary optimal control problem for an arterial system: First-order optimality conditions

- MathematicsNetworks Heterog. Media
- 2018

This paper discusses a control constrained boundary optimal control problem for the Boussinesq-type system arising in the study of the dynamics of an arterial network and investigates the existence of optimal solutions and first-order optimality conditions.

## References

SHOWING 1-10 OF 70 REFERENCES

### A mathematical analysis of nonlinear waves in a fluid filled visco-elastic tube

- Mathematics
- 1979

SummaryOur investigations in this paper are centred around the mathematical analysis of a “modal wave” problem. We have considered the axisymmetric flow of an inviscid liquid in a thinwalled…

### Wave propagation in fluid filled nonlinear viscoelastic tubes

- Engineering
- 1992

SummaryThe present work considers one dimensional wave propagation in an infinitely long, straight and homogeneous nonlinear viscoelastic tube filled with an incompressible, inviscid fluid. In order…

### A coupled momentum method for modeling blood flow in three-dimensional deformable arteries

- Engineering
- 2006

### One-dimensional models for blood flow in arteries

- Engineering
- 2003

In this paper a family of one-dimensional nonlinear systems which model the blood pulse propagation in compliant arteries is presented and investigated. They are obtained by averaging the…

### Computer simulation of local blood flow and vessel mechanics in a compliant carotid artery bifurcation model.

- EngineeringJournal of biomechanics
- 1995

### A one-dimensional model of viscous blood flow in an elastic vessel

- EngineeringAppl. Math. Comput.
- 2016

### Numerical Simulation and Experimental Validation of Blood Flow in Arteries with Structured-Tree Outflow Conditions

- EngineeringAnnals of Biomedical Engineering
- 2004

Comparison between the simulations and magnetic resonance measurements in the ascending aorta and nine peripheral locations in one individual shows excellent agreement between the two.

### An Anatomically Based Model of Transient Coronary Blood Flow in the Heart

- Physics, EngineeringSIAM J. Appl. Math.
- 2002

An efficient finite difference model of blood flow through the coronary vessels is developed and applied to a geometric model of the largest six generations of the coronary arterial network. By…

### Lumped parameter outflow models for 1-D blood flow simulations: Effect on pulse waves and parameter estimation

- Engineering
- 2008

Several lumped parameter, or zero-dimensional (0-D), models of the microcirculation are coupled in the time domain to the nonlinear, one-dimensional (1-D) equations of blood flow in large arteries. A…