scholarly journals Martingale solution for stochastic active liquid crystal system

2019 ◽  
Vol 0 (0) ◽  
pp. 0-0
Author(s):  
Zhaoyang Qiu ◽  
◽  
Yixuan Wang ◽  
2018 ◽  
Vol 50 (4) ◽  
pp. 3632-3675 ◽  
Author(s):  
Gui-Qiang G. Chen ◽  
Apala Majumdar ◽  
Dehua Wang ◽  
Rongfang Zhang

Soft Matter ◽  
2021 ◽  
Author(s):  
Jordan K. Ando ◽  
Peter J. Collings

A lyotropic chromonic liquid crystal consists of oriented molecular assemblies in solution. If the molecules are chiral, the helical pattern of orientational order is revealed by the stripes seen with polarized optical microscopy.


Optik ◽  
2013 ◽  
Vol 124 (4) ◽  
pp. 343-346 ◽  
Author(s):  
T.D. Ibragimov ◽  
G.M. Bayramov ◽  
A.R. Imamaliev

2021 ◽  
pp. 2150046
Author(s):  
Theodore Tachim Medjo ◽  
Caidi Zhao

In this paper, we are interested in proving the existence of a weak martingale solution of the stochastic smectic-A liquid crystal system driven by a pure jump noise in both 2D and 3D bounded domains. We prove the existence of a global weak martingale solution under some non-Lipschitz assumptions on the coefficients. The construction of the solution is based on a Faedo–Galerkin approximation, a compactness method and the Skorokhod representation theorem. In the two-dimensional case, we prove the pathwise uniqueness of the weak solution, which implies the existence of a unique probabilistic strong solution.


2021 ◽  
Author(s):  
Xu Zhang ◽  
Ningning Liu ◽  
Zongyuan Tang ◽  
Yingning Miao ◽  
Xiangshen Meng ◽  
...  

2002 ◽  
Vol 91 (9) ◽  
pp. 5558-5563 ◽  
Author(s):  
Haichao Zhang ◽  
Shigeaki Shiino ◽  
Akihiko Kanazawa ◽  
Osamu Tsutsumi ◽  
Takeshi Shiono ◽  
...  

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