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On the existence and uniqueness of solution to a stochastic simplified liquid crystal model

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  • We study in this article a stochastic version of a 2D simplified Ericksen-Leslie systems, which model the dynamic of nematic liquid crystals under the influence of stochastic external forces. We prove the existence and uniqueness of strong solution. The proof relies on a new formulation of the model proposed in [19] as well as a Galerkin approximation

    Mathematics Subject Classification: Primary: 35R60, 35Q35, 60H15, 86A05; Secondary: 76M35.


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