Speaker
Description
Recent years have seen the derivation of different kinds of mean-field models for the behaviour of particles in suspensions. This is typically based on the relatively mild singularity of the interaction. However, in models, where the orientation of the particles interact to leading order, the typical strategy runs into problems. We present here a negative result that suggests that no mean-field result for the behaviour of particle orientations can exist. In particular we present the specific model of spherical inertialess particles suspended in a Stokes flow in the three-dimensional torus. The particles perturb a linear extensional flow due to their rigidity constraint. We show that the macroscopic distribution of the orientations is not enough information to predict the evolution even approximately.
