论文标题
随机活动液晶系统的Martingale解决方案
Martingale Solution for Stochastic Active Liquid Crystal System
论文作者
论文摘要
全局弱的martingale解决方案是通过四级近似方案构建的，以在$ \ Mathbb {r}^{3} $中具有大量初始数据的平滑有限域中的随机压缩活性液晶系统。耦合结构使分析具有挑战性，与确定性的{11}相比，随机情况下需要更精致的论点。
The global weak martingale solution is built through a four-level approximation scheme to stochastic compressible active liquid crystal system driven by multiplicative noise in a smooth bounded domain in $\mathbb{R}^{3}$ with large initial data. The coupled structure makes the analysis challenging, and more delicate arguments are required in stochastic case compared to the deterministic one \cite{11}.
