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Under non-periodic boundary conditions, we consider the long-time behaviorfor stochastic 2D nematic liquid crystals flows with velocity and orientationsperturbed by additive noise and multiplicative noise respectively. It is thefirst result for the long-time behavior of stochastic nematic liquid crystalsunder Dirichlet boundary condition for velocity field and Neumann boundarycondition for orientation field.

Random attractor for the 2D stochastic nematic liquid crystals flows with multiplicative noise