Large deviation principle for a 2D liquid crystal model with multiplicative noise
Article
Medjo, TT. (2024). Large deviation principle for a 2D liquid crystal model with multiplicative noise
. STOCHASTICS AND DYNAMICS, 24(8), 10.1142/S0219493724500527
Medjo, TT. (2024). Large deviation principle for a 2D liquid crystal model with multiplicative noise
. STOCHASTICS AND DYNAMICS, 24(8), 10.1142/S0219493724500527
In this paper, we consider a stochastic 2D liquid crystal system with a small multiplicative noise of Gaussian type, which models the dynamic of nematic liquid crystals under the influence of stochastic external forces. We derive a large deviation principle for the model. The proof relies on the weak convergence method that was introduced in [A. Budhiraja, P. Dupuis and V. Maroulas, Variational representations for continuous time processes, Ann. Inst. Henri Poincaré Probab. Stat. 47(3) (2011) 725-747] and based on a variational representation on infinite-dimensional Brownian motion.
