Antony Hill Antony.Hill@uwe.ac.uk
College Dean of Learning and Teaching
We analyse the problem of finding instability thresholds and global non-linear stability bounds for thermal convection in a linearly viscous fluid in a finite box. The vertical walls are maintained at different temperatures which gives rise to a non-uniform temperature field in steady state. This problem was previously analysed by Georgescu and Mansutti (Int. J. Non-Linear Mech. 1999; 34:603-613). In our work we determine the linear instability threshold to be well above the global stability boundary found by an energy method. Since the perturbed system is not symmetric we expect this to be the case, and our analysis yields a parameter region where possible sub-critical instabilities may be found. Copyright © 2006 John Wiley & Sons, Ltd.
Journal Article Type | Article |
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Publication Date | Nov 25, 2006 |
Journal | Mathematical Methods in the Applied Sciences |
Print ISSN | 0170-4214 |
Electronic ISSN | 1099-1476 |
Publisher | Wiley |
Peer Reviewed | Peer Reviewed |
Volume | 29 |
Issue | 17 |
Pages | 2123-2132 |
DOI | https://doi.org/10.1002/mma.770 |
Keywords | energy method, subcritical instabilities, spectral methods |
Public URL | https://uwe-repository.worktribe.com/output/1044163 |
Publisher URL | http://dx.doi.org/10.1002/mma.770 |
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