As written in Straughan's book [1] (first published in 1993): an interesting model of thermal convection for a deep layer of fluid is developed by Zeytounian in 1989 [2]. A linear and weakly nonlinear theory for this model is presented by Errafiy and Zeytounian [3], and transition to chaos results by Errafiy and Zeytounian [4]; sharp nonlinear energy stability bounds are derived by Franchi and Straughan [5].
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(2009). The Deep Thermal Convection Problem. In: Convection in Fluids. Fluid Mechanics and its Applications, vol 90. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-2433-6_6
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