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Wave-induced perturbations in cylindrically layered smectic A liquid crystals

Walker, A.J. and Stewart, Iain (2012) Wave-induced perturbations in cylindrically layered smectic A liquid crystals. Zeitschrift für Angewandte Mathematik und Physik, 63 (2). pp. 357-371. ISSN 0044-2275

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We consider the stability of a cylindrically layered smectic A liquid crystal sample under a sinusoidal perturbation where we allow for the decoupling between the layer normal and the director. Two forms of general anstazes are proposed: one provides exact solutions for the flow and layer undulations while the other provides series solutions for the hydrodynamic variables. Both cases provide an estimate for a stability parameter. Plots of the flow, layer undulations and pressure are provided