Abstract
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 language | English |
|---|---|
| Pages (from-to) | 357-371 |
| Number of pages | 15 |
| Journal | Zeitschrift für Angewandte Mathematik und Physik |
| Volume | 63 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Apr 2012 |
Keywords
- smectic A liquid crystals
- cylindrical layers
- decoupling of director and layer normal
- perturbations