Global existence and regularity of solutions for active liquid crystals
Global existence and regularity of solutions for active liquid crystals
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DOI：
10.1016/j.jde.2017.02.035
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发表时间：
2017-07
影响因子：
2.4
通讯作者：
Gui-Qiang G. Chen;A. Majumdar;Dehua Wang;Rongfang Zhang
中科院分区：
文献类型：
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作者：
Gui-Qiang G. Chen;A. Majumdar;Dehua Wang;Rongfang Zhang
我们在Beris-Edwards流体动力学框架下，用Landau-de Gennesq张量序参数描述液晶有序性，研究了活性液晶的流体动力学。证明了二维和三维空间中整体弱解的存在性。在二维情形下，通过Littlewood-Paley分解，还得到了弱解的高正则性和弱强唯一性。
We study the hydrodynamics of active liquid crystals in the Beris–Edwards hydrodynamic framework with the Landau–de GennesQ-tensor order parameter to describe liquid crystalline ordering. The existence of global weak solutions in two and three spatial dimensions is established. In the two-dimensional case, by the Littlewood–Paley decomposition, the higher regularity of the weak solutions and the weak-strong uniqueness are also obtained.