Suitable Weak Solutions for the Co-rotational Beris–Edwards System in Dimension Three
Suitable Weak Solutions for the Co-rotational Beris–Edwards System in Dimension Three
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DOI：
10.1007/s00205-020-01554-y
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发表时间：
2019-05
影响因子：
2.5
通讯作者：
Hengrong Du;Xianpeng Hu;Changyou Wang
中科院分区：
文献类型：
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作者：
Hengrong Du;Xianpeng Hu;Changyou Wang
本文建立了一个耦合不可压Navier-Stokes方程和一个耗散抛物Q-张量方程组的共转Beris-EdwardsQ-张量系统的整体弱解的存在性，该系统模拟了具有Landau-De Gennes体势或Ball-Majumdar体势的液晶的流体力学运动，它被证明是光滑远离一个封闭的集合，其1维抛物Hausdorff措施是零。
In this paper, we establish the global existence of a suitable weak solution to the co-rotational Beris–EdwardsQ-tensor system modeling the hydrodynamic motion of nematic liquid crystals with either Landau–De Gennes bulk potential inor Ball–Majumdar bulk potential in, a system coupling the forced incompressible Navier–Stokes equation with a dissipative, parabolic system ofQ-tensorQin, which is shown to be smooth away from a closed setwhose 1-dimensional parabolic Hausdorff measure is zero.