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New stability results for long-wavelength convection patterns

Skeldon, AC and Silber, M (1997) New stability results for long-wavelength convection patterns

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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.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Silber, M
Date : 16 December 1997
Uncontrolled Keywords : patt-sol, patt-sol, nlin.PS
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 11:15
Last Modified : 10 Jun 2019 13:07

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