Sheared nematic liquid crystal polymer monolayers

Hong Zhou, Hongyun Wang, M. Gregory Forest
2008 Discrete and continuous dynamical systems. Series B  
We provide a comprehensive study on the planar (2D) orientational distributions of nematic polymers under an imposed shear flow of arbitrary strength. We extend previous analysis for persistence of equilibria in steady shear and for transitions to unsteady limit cycles, from closure models [21] to the Doi-Hess 2D kinetic equation. A variation on the Boltzmann distribution analysis of Constantin et al. [3, 4, 5] and others [8, 22, 23] for potential flow is developed to solve for all persistent
more » ... eady equilibria, and characterize parameter boundaries where steady states cease to exist, which predicts the transition to tumbling limit cycles. 2000 Mathematics Subject Classification. Primary: 82D60, 76A15; Secondary: 65Z05, 35Q99.
doi:10.3934/dcdsb.2009.11.497 fatcat:f5kwrkocanhdrnnjfbugafiubm