Martingale Solution for Stochastic Active Liquid Crystal System

Zhaoyang Qiu; Yixuan Wang

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arXiv · 2002.05799

Martingale Solution for Stochastic Active Liquid Crystal System

Zhaoyang Qiu·Yixuan Wang

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Abstract

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}.

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Zhaoyang Qiu, Yixuan Wang. 2020-02-13. Martingale Solution for Stochastic Active Liquid Crystal System. https://arxiv.org/abs/2002.05799

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