engleski

Analysis of a Fluid-Structure Interaction Problem Arising in Hemodynamics

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 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}; ; . This is joined work with S. Čanić, M. Galić, M. Lulj, J. Tambača and Y. Wang.

Fluid-structure interaction ; elastic mesh ; weak solutions ; Navier-Stokes equations

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