Speaker
Description
Consider the coupled system of rigid particles flowing inside a Navier-Stokes fluid. If one sends the number of particles to infinity while at the same time shrinking their size, then at the right scaling the expected limit is the Navier-Stokes-Vlasov system. Turning this formal limit into a rigorous proof however is still an open problem. The aim of this talk is to present some partial results under additional assumptions of controls on particle distance. The key to this is understanding the underlying fluid-structure interaction problem in a free boundary sense and then dealing with the boundary stresses as a direct part of the equation instead of a merely another coupling condition of the interaction. This is based on joint work with Richard Höfer (Regensburg).