L264 thesis-casanova-monash_Redacted.pdf (1.81 MB)
Analysis and control of fluid-structure systems with boundary conditions involving the pressure
thesis
posted on 2019-04-03, 23:46 authored by Jean-Jérôme CasanovaIn 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.
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
AustraliaPrincipal supervisor
Jérôme DroniouAdditional supervisor 1
Jean-Pierre RaymondYear of Award
2018Department, School or Centre
MathematicsCourse
Doctor of PhilosophyDegree Type
DOCTORATEFaculty
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