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Complex Fluids 2007
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On kinetic models for dilute suspensions of
rigid-rods
CSIC Building (#406),
Seminar Room 4122.
Directions: home.cscamm.umd.edu/directions
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On kinetic models for dilute suspensions of
rigid-rods
Professor
Thanos Tzavaras
University of Maryland
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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
micro-scale 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 rank--one
monotone. We consider the evolution of possibly
large perturbations of stationary flows and prove
that, even in absence of a microscopic cut--off,
discontinuities in the velocity gradient cannot
occur in finite time (joint works with F. Otto and
Ch. Helzel - Univ. of Bonn) |
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