On kinetic models for dilute suspensions of
rigidrods
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On kinetic models for dilute suspensions of
rigidrods
Professor
Thanos Tzavaras
University of Maryland

Abstract:
We discuss the existence theory for certain kinetic
models for the modeling of dilute suspensions of
rigid rods. The model consists of a coupled
Smoluchowski equation describing the evolution of a
microscale together with Stokes flow for the motion
of the solvent.For certain parameter values, the
velocity gradient versus stress relation defined by
the stationary and homogeneous flow is not rankone
monotone. We consider the evolution of possibly
large perturbations of stationary flows and prove
that, even in absence of a microscopic cutoff,
discontinuities in the velocity gradient cannot
occur in finite time (joint works with F. Otto and
Ch. Helzel  Univ. of Bonn) 
