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September  2019, 18(5): 2243-2264. doi: 10.3934/cpaa.2019101

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

 Department of Mathematics, Florida International University, DM413B, University Park, Miami, Florida 33199, USA

Received  August 2017 Revised  August 2017 Published  April 2019

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

Citation: T. Tachim Medjo. On the existence and uniqueness of solution to a stochastic simplified liquid crystal model. Communications on Pure & Applied Analysis, 2019, 18 (5) : 2243-2264. doi: 10.3934/cpaa.2019101
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