BZ Seminar in Analysis: David Gérard-Varet (Paris)

Mathematical study of suspensions of non-spherical particles

A  popular model for suspensions of non-spherical particles in fluids is the so-called Doi model, which couples a Stokes equation for the fluid velocity u(t,x) together with a transport equation for the distribution of particles  in space and orientation f(t,x,p). The Doi model comes from a formal mean-field limit of a system of particles interacting inside a Stokes flow. We will show in this talk that this formal limit is not accurate and will rigorously derive a correction to the model, under natural assumptions on the initial distribution of the particles. This is joint work with R. Höfer (Regensburg university).

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