Matthews, P.C. and Rucklidge, A.M. (1993) Travelling and standing waves in magnetoconvection. Proceedings of the Royal Society Series A: Mathematical and Physical Sciences, 441 (1913). pp. 649-658. ISSN 1471-2946Full text available as:
The problem of Boussinesq magnetoconvection with periodic boundary conditions is studied using standard perturbation techniques. It is fbund that either travelling waves or standing waves can be stable at the onset of oscillatory convection, depending on the parameters of the problem. When travelling waves occur, a steady shearing flow is present that is quadratic in the amplitude of the convective flow. The weakly nonlinear predictions are confirmed by comparison with numerical solutions of the full partial differential equations at Rayleigh numbers 10% above critical. Modulated waves (through which stability is transferred between travelling and standing waves) are found near the boundary between the regions in parameter space where travelling waves and standing waves are preferred.
|Copyright, Publisher and Additional Information:||Copyright © 1993 The Royal Society.|
|Academic Units:||The University of Leeds > Faculty of Maths and Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds)|
|Depositing User:||A. M. Rucklidge|
|Date Deposited:||06 Feb 2006|
|Last Modified:||08 Feb 2013 16:48|
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