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 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.

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