Global Weak Solutions for the Compressible Active Liquid Crystal System
Global Weak Solutions for the Compressible Active Liquid Crystal System
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DOI：
10.1137/17m1156897
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发表时间：
2017-11
期刊：
影响因子：
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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
我们研究的可压缩流动的活性液晶的Beris-Edwards流体动力学框架中的流体动力学，使用Landau-de Gennes $Q$-张量序参数来描述液晶有序。利用三层近似和弱收敛证明了该系统在三维空间中整体弱解的存在性。新的技术和估计的开发，以克服所造成的困难，积极的条款。
We study the hydrodynamics of compressible flows of active liquid crystals in the Beris-Edwards hydrodynamics framework, using the Landau-de Gennes $Q$-tensor order parameter to describe liquid crystalline ordering. We prove the existence of global weak solutions for this active system in three space dimensions by the three-level approximations and weak convergence argument. New techniques and estimates are developed to overcome the difficulties caused by the active terms.