Applied Mathematics Colloquium: Dr. Boris Muha
University of Zagreb
Location
Mathematics/Psychology : 103
Date & Time
November 30, 2018, 2:00 pm – 3:00 pm
Description
Title: Modeling and Analysis of Fluid-Structure Interactions Arising in Hemodynamics
Speaker: Boris Muha, University of Zagreb
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 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 PDE analysis of such FSI problems. I will also describe a numerical method for a class of FSI problems that, in this case, leads to a proof of existence of weak solutions to the PDE system.
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