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

T. Tachim Medjo

doi:10.3934/cpaa.2019101

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2019, Volume 18, Issue 5: 2243-2264. Doi: 10.3934/cpaa.2019101

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

T. Tachim Medjo

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

Received: July 31, 2017

Revised: July 31, 2017

Published: March 2019

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Abstract

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

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

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