An elementary proof of eigenvalue preservation for the co-rotational Beris-Edwards system

Abstract

We study the co-rotational Beris-Edwards system modeling nematic liquid crystals and revisit the eigenvalue preservation property discussed in \cite{XZ16}. We give an alternative but direct proof to the eigenvalue preservation of the initial data for the $Q$-tensor. It is noted that our proof is not only valid in the whole space case, but in the bounded domain case as well.

References in corpus (4)

• Landau-De Gennes theory of nematic liquid crystals: the Oseen-Frank limit and beyond
• Energy Dissipation and Regularity for a Coupled Navier-Stokes and Q-Tensor System
• Global strong solutions of the full Navier-Stokes and $Q$-tensor system for nematic liquid crystal flows in $2D$: existence and long-time behavior
• Dynamics and flow effects in the Beris-Edwards system modelling nematic liquid crystals