Large deviation principles for a 2D liquid crystal model with jump noise

被引：0
作者：
Medjo, T. Tachim [1 ]
机构：
[1] Florida Int Univ, Dept Math, Miami, FL 33199 USA
来源：
APPLICABLE ANALYSIS | 2023年 / 102卷 / 15期
关键词：
Liquid crystal; Navier-Stokes; strong solutions; Levy noise; large deviations; STOKES EQUATIONS DRIVEN; WEAK SOLUTION; EXISTENCE; UNIQUENESS;
D O I：
10.1080/00036811.2022.2107909
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a stochastic 2D liquid crystal model with a multiplicative noise of Levy type, which models the dynamic of nematic liquid crystals under the influence of stochastic external forces of jump type. We derive a large deviation principle for the model. The proof is based on the weak convergence method introduced in [Budhiraja A, Dupuis P, Maroulas V. Variational representations for continuous time processes. Ann Inst Henri Poincar Probab Stat. 2011;47(3):725-747].
引用
收藏
页码：4177 / 4208
页数：32
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