Speaker
Igor Kukavica
(University of Southern California)
Description
We address a system of partial differential equations modeling the motion of an elastic body inside an incompressible fluid. The fluid is governed by the incompressible Navier-Stokes equations, while the structure is represented by the wave equation. In this talk, we review established local and global existence theorems and discuss recent developments in their long-time dynamics. These results are based on joint works with M. Ignatova, B. Ingimarson, I. Lasiecka, W. Ożański, and A. Tuffaha.
Author
Igor Kukavica
(University of Southern California)