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

Tachim Medjo, T. (2019). On the existence and uniqueness of solution to a stochastic simplified liquid crystal model . COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 18(5), 2243-2264. 10.3934/cpaa.2019101

cited authors

  • Tachim Medjo, T

authors

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.

publication date

  • September 1, 2019

published in

Digital Object Identifier (DOI)

start page

  • 2243

end page

  • 2264

volume

  • 18

issue

  • 5