Boris Muha

University of Zagreb

Thursday, September 16, 2021

3:30 pm - 4:30 pm

154 Hurley Hall

Title: Modeling and Numerical Analysis of Fluid-Structure Interactions Arising in Hemodynamics

Abstract: Fluid-structure interaction (FSI) problems describe the dynamics of multi-physics systems that involve fluid and solid components. These are everyday phenomena in nature, and arise in various applications ranging from biomedicine to engineering. Mathematically, FSI problems are typically non-linear systems of partial differential equations (PDEs) of mixed hyperbolic-parabolic type, defined on time-changing domains (i.e., moving boundaries).

In this talk, I will formulate an FSI problem describing blood flow through a compliant vessel treated with biomedical device called a stent. I will illustrate the main features of the FSI problem, as well as main challenges arising in the numerical analysis of such FSI problems, I will also describe several numerical methods for FSI problems together with the corresponding stability and convergence analysis.