Applied Mathematics Seminar-Eigenvalue preservation for the Beris-Edwards system modeling nematic liquid crystals

Speaker: Xiang Xu, Ph.D., Old Dominion University
Date and Time: Friday, November 17, 11am-12pm
Place: Rome 771
Title: Eigenvalue preservation for the Beris-Edwards system modeling nematic liquid crystals

Abstract: The Beris-Edward equations are a hydrodynamic system modeling nematic liquid crystals in the setting of Q-tensor order parameter. Mathematically speaking it is the incompressible Navier-Stokes equations coupled with a Q-tensor equation of parabolic type.

In this talk we first consider the simplified Beris-Edward system that corresponds to the co-rotational case, and study the eigenvalue preservation property for the initial Q-tensor order parameter. Then we show that for the full system that relates to the non co-rotational case, this property is not valid in general.