Title: Identification of arterial stenosis: an inverse problem through external measurements
Abstract: The problem of identifying an obstruction within a fluid cavity has various applications, one of which is in medicine, where the presence of stenosis in coronary vessels poses a potentially life-threatening condition. In this seminar, we formulate a theoretical-continuous framework and study, from a numerical perspective, the inverse problem of identifying an obstruction within a 2D conduit, where blood flow (modeled by Stokes equations with Navier-type boundary conditions) generates an acoustic wave outside the cavity. By measuring acoustic waves at specific points outside the cavity, we can determine the location, extent, and height of the obstruction.