Date of Award
Fall 2011
Project Type
Thesis
Program or Major
Mathematics: Applied Math
Degree Name
Master of Science
First Advisor
Marianna Shubov
Abstract
A simplified mathematical model of blood flow through flexible arteries is developed and analyzed. The resulting system of non-linear, non-homogeneous PDE's is analyzed numerically using the Richtmyer Lax-Wendroff method. Numerical and theoretical results show excellent agreement suggesting that in physiologically relevant situations shocks only develop outside the domain of interest. These results suggest that when the model assumptions are satisfied the model provides sufficient regularity to yield a physically reasonable representation of flow through a flexible artery. We conclude with a discussion of future directions for this model.
Recommended Citation
Bozzuto, Lisa A., "Mathematical analysis of blood flow model through channels with flexible walls" (2011). Master's Theses and Capstones. 652.
https://scholars.unh.edu/thesis/652