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

Abstract

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

arXiv admin note: text overlap with arXiv:cond-mat/0211455 by other authors