An Elementary Proof of Eigenvalue Preservation for the Co-rotational Beris-Edwards System
An Elementary Proof of Eigenvalue Preservation for the Co-rotational Beris-Edwards System
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DOI：
10.1007/s00332-018-9503-9
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发表时间：
2018-10
影响因子：
3
通讯作者：
Andres A Contreras Marcillo;Xiang Xu;Wujun Zhang
中科院分区：
文献类型：
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作者：
Andres A Contreras Marcillo;Xiang Xu;Wujun Zhang
我们研究了向列液晶的旋转Beris-Edwards系统建模，并重新审视了Wu等人（Arch Rational Mech Anal, 2018）讨论的特征值保持特性。https://doi.org/10.1007/s00205 - 018 - 1297 - 2 ).我们给出了q张量初始数据特征值保持的另一种直接证明。我们的证明不仅在全空间情况下是有效的，而且在有界情况下也是有效的。
We study the corotational Beris-Edwards system modeling nematic liquid crystals and revisit the eigenvalue preservation property discussed in Wu et al. (Arch Rational Mech Anal, 2018. https://doi.org/10.1007/s00205-018-1297-2 ). We give an alternative but direct proof to the eigenvalue preservation of the initial data for theQ-tensor. It is noted that our proof is not only valid in the whole-space case, but in the bounded-domain case as well.