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On kinetic models for dilute suspensions of rigid-rods

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On kinetic models for dilute suspensions of rigid-rods

 

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 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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