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Cross-Newell equations for hexagons and triangles

Hoyle, Rebecca B. (2000) Cross-Newell equations for hexagons and triangles Physical Review E, 61 (3). pp. 2506-2512.


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he Cross-Newell equations for hexagons and triangles are derived for general real gradient systems, and are found to be in flux-divergence form. Specific examples of complex governing equations that give rise to hexagons and triangles and which have Lyapunov functionals are also considered, and explicit forms of the Cross-Newell equations are found in these cases. The general nongradient case is also discussed; in contrast with the gradient case, the equations are not flux divergent. In all cases, the phase stability boundaries and modes of instability for general distorted hexagons and triangles can be recovered from the Cross-Newell equations.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Hoyle, Rebecca
Date : 1 March 2000
DOI : 10.1103/PhysRevE.61.2506
Additional Information : Published in Physical Review E, 61, 2506-2512. © 2000 The American Physical Society.
Depositing User : Mr Adam Field
Date Deposited : 27 May 2010 14:41
Last Modified : 16 Jan 2019 16:22

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