APDE seminar@BCAM: Mathematical Analysis of Fluid-structure interaction models

In this talk, we will explain what a fluid-structure interaction problem is. We describe the interesting problems in this area. In particular, we focus on the following problem: we consider the motion of several small rigid bodies immersed in a viscous incompressible fluid contained in a domain. We show that the fluid flow is not influenced by the presence of the infinitely many bodies in the asymptotic limit. The result depends solely on the geometry of the bodies and is independent of their mass densities.