New stability results for long-wavelength convection patterns
| dc.creator | Skeldon, Anne C. | |
| dc.creator | Silber, Mary | |
| dc.date | 1997-12-16 | |
| dc.date.accessioned | 2026-07-07T05:43:25Z | |
| dc.date.available | 2026-07-07T05:43:25Z | |
| dc.description | We consider the transition from a spatially uniform state to a steady, spatially-periodic pattern in a partial differential equation describing long-wavelength convection. This both extends existing work on the study of rolls, squares and hexagons and demonstrates how recent generic results for the stability of spatially-periodic patterns may be applied in practice. We find that squares, even if stable to roll perturbations, are often unstable when a wider class of perturbations is considered. We also find scenarios where transitions from hexagons to rectangles can occur. In some cases we find that, near onset, more exotic spatially-periodic planforms are preferred over the usual rolls, squares and hexagons. | |
| dc.description | 25 pages, 8 figures | |
| dc.identifier | https://arxiv.org/abs/patt-sol/9712006 | |
| dc.identifier | http://arxiv.org/abs/patt-sol/9712006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/83298 | |
| dc.subject | Pattern Formation and Solitons | |
| dc.title | New stability results for long-wavelength convection patterns | |
| dc.type | text |