Stability of non-equilateral hexagonal patterns governed by generalized amplitude equations

A.e Nuz, A.a Nepomnyashchy and L.m Pismen

Physica A: Statistical Mechanics and its Applications, 1998, vol. 249, issue 1, 179-183

Abstract: We consider the evolution of hexagonal convection patterns governed by non-potential amplitude equations in the particular case of the Boussinesq approximation. The amplitude equations contain new terms which can produce non-equilateral hexagonal patterns based on a resonant triad with different lengths of wave vectors. The stability regions of different kinds of patterns have been obtained. Non-stationary solutions are also studied.

Keywords: Amplitude equations; Non-equilateral hexagonal patterns (search for similar items in EconPapers)
Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:249:y:1998:i:1:p:179-183

DOI: 10.1016/S0378-4371(97)00480-9

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