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Martingale solution for stochastic active liquid crystal system

  • * Corresponding author: Yixuan Wang

    * Corresponding author: Yixuan Wang

The first author is supported by the CSC under grant No.201806160015

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  • 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 [11].

    Mathematics Subject Classification: 35Q35, 76N10, 76A15.


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