Antony Hill Antony.Hill@uwe.ac.uk
College Dean of Learning and Teaching
This paper explores an operative technique for deriving nonlinear stability by studying double-diffusive porous convection with a concentration-based internal heat source. Previous stability analyses on this problem have yielded regions of potential subcritical instabilities where the linear instability and nonlinear stability thresholds do not coincide. It is shown in this paper that the operative technique yields sharp conditional nonlinear stability in regions where the instability is found to be monotonic. This is the first instance, in the present literature, where this technique has been shown to generate sharp thresholds for a system with spatially dependent coefficients, which strongly advocates its wider use. © 2011 The Royal Society.
Hill, A. A., & Malashetty, M. S. (2012). An operative method to obtain sharp nonlinear stability for systems with spatially dependent coefficients. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 468(2138), 323-336. https://doi.org/10.1098/rspa.2011.0137
Journal Article Type | Article |
---|---|
Publication Date | Feb 8, 2012 |
Deposit Date | Oct 24, 2012 |
Journal | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |
Print ISSN | 1471-2946 |
Electronic ISSN | 1471-2946 |
Publisher | Royal Society, The |
Peer Reviewed | Peer Reviewed |
Volume | 468 |
Issue | 2138 |
Pages | 323-336 |
DOI | https://doi.org/10.1098/rspa.2011.0137 |
Keywords | energy method, double-diffusive convection, porous media |
Public URL | https://uwe-repository.worktribe.com/output/953493 |
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