posted on 2019-04-03, 23:46authored byJean-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.