Abstract
The hydrodynamic behavior of a smectic a dilated perpendicularly to the layers is described by a set of partial differential equations. The dynamics of the undulation instability are studied in terms of a characteristic equation of sixth degree. For the undulation to develop at a finite growth rate the dilation must exceed a positive threshold value. Above threshold the range of undamped modes is studied. The fastest growing one is dominant and its wave vector corresponds to the static threshold. A conclusion is made by some qualitative conjectures about the effects of a laminar flow, the most important being the breaking of symmetry.
| Original language | English |
|---|---|
| Pages (from-to) | 383-399 |
| Number of pages | 17 |
| Journal | Molecular Crystals and Liquid Crystals |
| Volume | 94 |
| Issue number | 3-4 |
| DOIs | |
| State | Published - 1 Jan 1983 |
ASJC Scopus subject areas
- General Engineering