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Tridispersive thermal convection

Gentile, M.; Straughan, B.

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M. Gentile

B. Straughan


We derive the linear instability and nonlinear stability thresholds for a problem of thermal convection in a tridispersive porous medium with a single temperature. Importantly we demonstrate that the nonlinear stability threshold is the same as the linear instability one. The significance of this is that the linear theory is capturing completely the physics of the onset of thermal convection. This result is different to the general theory of thermal convection in a tridispersive porous material where the temperatures in the macropores, mesopores and micropores are allowed to be different. In that case the coincidence of the nonlinear stability and linear instability boundaries has not been proved.


Gentile, M., & Straughan, B. (2018). Tridispersive thermal convection. Nonlinear Analysis: Real World Applications, 42, 378-386.

Journal Article Type Article
Acceptance Date Jan 7, 2018
Online Publication Date Feb 3, 2018
Publication Date Feb 3, 2018
Deposit Date Feb 27, 2018
Publicly Available Date Feb 3, 2019
Journal Nonlinear Analysis: Real World Applications
Print ISSN 1468-1218
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 42
Pages 378-386


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