Wave-induced perturbations in cylindrically layered smectic A liquid crystals

Alan Walker, I. W. Stewart

Research output: Contribution to journalArticlepeer-review


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.
Original languageEnglish
Pages (from-to)357 - 371
Number of pages14
JournalZeitschrift fur Angewandte Mathematik und Physik (ZAMP)
Issue number2
Publication statusE-pub ahead of print - 1 Apr 2012


  • smectic a liquid crystals
  • cylindrical layers
  • decoupling of director and layer normal
  • pertubations


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