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.
|Pages (from-to)||357 - 371|
|Number of pages||14|
|Journal||Zeitschrift fur Angewandte Mathematik und Physik (ZAMP)|
|Publication status||E-pub ahead of print - 1 Apr 2012|
- smectic a liquid crystals
- cylindrical layers
- decoupling of director and layer normal