共转Beris-Edwards系统的eigenvalue保持性的初等证明
An elementary proof of eigenvalue preservation for the co-rotational Beris-Edwards system
摘要:
我们研究了共旋Beris-Edwards系统模拟液晶,并重新讨论了\cite{XZ16}中讨论的本征值保持性质。我们给出了一个替代的,但直接的证明的特征值保存的初始数据的$Q$ -张量。值得注意的是,我们的证明是有效的,不仅在整个空间的情况下,但在有界区域的情况下,以及。
英文摘要:
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.
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