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Analysis and control of fluid-structure systems with boundary conditions involving the pressure

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thesis
posted on 03.04.2019, 23:46 authored by Jean-Jérôme Casanova
In this thesis we study fluid-structure systems modelling the blood flow through
human arteries. Our analysis involves \textit{realistic conditions} on the inflow and outflow of the vessel and
allows for larger deformations than previous studies. We also investigate equilibrium states (when the system
is subjected to a periodic impulse coming from the heart) and the stabilization around this equilibrium after
perturbations. This work generalises and extends the theoretical study of a model that has been largely used
as a benchmark for numerical schemes in mathematical biology.

History

Campus location

Australia

Principal supervisor

Jérôme Droniou

Additional supervisor 1

Jean-Pierre Raymond

Year of Award

2018

Department, School or Centre

School of Mathematical Sciences

Course

Doctor of Philosophy

Degree Type

DOCTORATE

Faculty

Faculty of Science

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