Special Session 61: Qualitative Properties and Numerical Approximations of PDE Systems which Govern Fluid Flows and Flow-Structure Interactions

An inverse problem for the Mindlin--Timoshenko system

Shitao Liu
Clemson University
USA
Co-Author(s):    Jason Kurz, Pei Pei
Abstract:
In this talk, we consider an inverse problem for the Mindlin--Timoshenko plate system, which is a strongly coupled two dimensional system consisting of a wave equation and a system of isotropic elasticity that arises in modeling plate vibrations especially at high frequencies and thicker plates. More precisely, we prove the global uniqueness of recovering the plate density from a single boundary measurement of the system under appropriate geometrical assumptions.