Large Deviations for Stochastic Nematic Liquid Crystals Driven by Multiplicative Gaussian Noise

被引：6

作者：

Brzezniak, Zdzislaw ^{[1
]}

Manna, Utpal ^{[2
]}

Panda, Akash Ashirbad ^{[2
]}

机构：

[1] Univ York, Dept Math, York YO10 5DD, N Yorkshire, England

[2] Indian Inst Sci Educ & Res Thiruvananthapuram, Sch Math, Thiruvananthapuram 695551, Kerala, India

来源：

POTENTIAL ANALYSIS | 2020年 / 53卷 / 03期

关键词：

Nematic liquid crystal; Weak martingale solution; Large deviations principle; NAVIER-STOKES EQUATIONS; MARTINGALE;

D O I：

10.1007/s11118-019-09788-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a stochastic two-dimensional nematic liquid crystal model with multiplicative Gaussian noise. We prove the Wentzell-Freidlin type large deviations principle for the small noise asymptotic of solutions using weak convergence method.

引用

页码：799 / 838

页数：40

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