An operative method to obtain sharp nonlinear stability for systems with spatially dependent coefficients
2011 ◽
Vol 468
(2138)
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pp. 323-336
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Keyword(s):
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.
2016 ◽
Vol 111
(3)
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pp. 751-762
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2016 ◽
Vol 19
(4)
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pp. 303-312
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Keyword(s):
2015 ◽
Vol 18
(6)
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pp. 597-612
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2019 ◽
Vol 358
◽
pp. 216-231
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1992 ◽
Vol 02
(04)
◽
pp. 407-421
2017 ◽
Vol 30
(1)
◽
pp. 165-173
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Keyword(s):