Analysis Seminar

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Dynamics of the Ericksen-Leslie Model for Nematic Liquid Crystal Flows with General Leslie Stress

Speaker: Matthias Hieber, Technical University of Darmstadt

Location: Warren Weaver Hall 1302

Date: Thursday, February 18, 2016, 11 a.m.

Synopsis:

In this talk, we consider the Ericksen-Leslie model for the flow of nematic liquid crystals in a bounded domain with general Leslie and isotropic Ericksen stress in the iso- and nonisothermal setting. We discuss recent local and global well-posedness results in the strong sense for this system and describe furthermore the dynamical behaviour of its solutions. Note that for these results no structural conditions on the Leslie coefficients are being imposed and that in particular Parodi's relation is not being assumed. This is joint work with Jan Pruess.