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Sheared nematic liquid crystal polymer monolayers
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
doi:10.3934/dcdsb.2009.11.497
fatcat:f5kwrkocanhdrnnjfbugafiubm