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A comparison of the Graffi and Kazhikhov–Smagulov models for top heavy pollution instability. (2001)
Journal Article
Franchi, F., & Straughan, B. (2001). A comparison of the Graffi and Kazhikhov–Smagulov models for top heavy pollution instability. Advances in Water Resources, 24(6), 585-594. https://doi.org/10.1016/s0309-1708%2800%2900073-7

A model to describe convective overturning of a fluid layer due to density differences is derived based on equations of Kazhikhov & Smagulov. This is related to an analogous model of a reduced system based on equations of Dario Graffi. It is shown ho... Read More about A comparison of the Graffi and Kazhikhov–Smagulov models for top heavy pollution instability..

A sharp nonlinear stability threshold in rotating porous convection (2001)
Journal Article
Straughan, B. (2001). A sharp nonlinear stability threshold in rotating porous convection. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 457(2005), 87-93. https://doi.org/10.1098/rspa.2000.0657

A nonlinear stability analysis is performed for the Darcy equations of thermal convection in a fluid-saturated porous medium when the medium is rotating about an axis orthogonal to the layer in the direction of gravity. A best possible result is esta... Read More about A sharp nonlinear stability threshold in rotating porous convection.