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 |
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Pages (from-to) | 357-371 |
Number of pages | 15 |
Journal | Journal of Applied Mathematics and Physics |
Volume | 63 |
Issue number | 2 |
DOIs | |
Publication status | Published - Apr 2012 |
Externally published | Yes |
Keywords
- Smectic A liquid crystals
- Cylindrical layers
- Decoupling of director and layer normal
- Perturbations