The HADES seminar on Tuesday, September 26th will be at 3:30pm in Room 740.

Speaker: Krutika Tawri

Abstract: In this talk, we will present a constructive approach to investigate
the existence of martingale solutions to a benchmark fluid-structure interaction
problem that involves an incompressible, viscous fluid interacting with a linearly
elastic membrane subjected to a multiplicative stochastic force. The fluid flow
is described by the Navier-Stokes equations while the elastodynamics of the
thin structure is modeled by the Koiter shell equations. We will discuss the
challenges arising due to the random motion of the time-dependent fluid domain
and present our recent findings. This is joint work with Sunčica Čanić.