Speaker
Sebastian Schwarzacher
Description
In this lecture, I will summarize how variational methods can be used to establish the existence of weak solutions for fluid–structure interaction problems. In particular, I will discuss how PDEs with inertia can be approximated variationally using gradient-flow techniques. I will focus on results for largely deforming bulk solids interacting with fluids governed by the Navier–Stokes equations, under both no-slip and Navier-slip boundary conditions. The lecture is based on joint works with B. Benesova, A. Cesik and M. Kampschulte.