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Hyperbolic diffusion with Christov–Morro theory (2012)
Journal Article
Gentile, M., & Straughan, B. (2012). Hyperbolic diffusion with Christov–Morro theory. Mathematics and Computers in Simulation, 127, 94-100. https://doi.org/10.1016/j.matcom.2012.07.010

We employ recent ideas of C.I. Christov and of A. Morro to develop a theory for diffusion of a solute in a Darcy porous medium taking convection effects into account. The key point is that the solute evolution is not governed by a parabolic system of... Read More about Hyperbolic diffusion with Christov–Morro theory.

Tipping points in Cattaneo-Christov thermohaline convection (2011)
Journal Article
Straughan, B. (2011). Tipping points in Cattaneo-Christov thermohaline convection. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 467(2125), 7-18. https://doi.org/10.1098/rspa.2010.0104

A model is proposed for thermohaline convection when the heat flux satisfies a relaxation time law rather than the classical Fourier one. Here, we adopt the recent law due to Christov. That a Cattaneo-like law would be relevant in thermohaline convec... Read More about Tipping points in Cattaneo-Christov thermohaline convection.

Poiseuille flow in a fluid overlying a porous medium (2008)
Journal Article
Hill, A., & Straughan, B. (2008). Poiseuille flow in a fluid overlying a porous medium. Journal of Fluid Mechanics, 603, 137-149. https://doi.org/10.1017/s0022112008000852

This paper numerically investigates the instability of Poiseuille flow in a fluid overlying a porous medium saturated with the same fluid. A three-layer configuration is adopted. Namely, a Newtonian fluid overlying a Brinkman porous transition layer,... Read More about Poiseuille flow in a fluid overlying a porous medium.

Discontinuity waves in type III thermoelasticity (2004)
Journal Article
Quintanilla, R., & Straughan, B. (2004). Discontinuity waves in type III thermoelasticity. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 460, 1169-1175

The energy method, stability, and nonlinear convection. (2004)
Book
Straughan, B. (2004). The energy method, stability, and nonlinear convection. Springer Verlag. https://doi.org/10.1007/978-0-387-21740-6

This book describes the energy method, a powerful technique for deriving nonlinear stability estimates in thermal convection contexts. It includes a very readable introduction to the subject (Chapters 2-4), which begins at an elementary level and exp... Read More about The energy method, stability, and nonlinear convection..

Resonant porous penetrative convection (2004)
Journal Article
Straughan, B. (2004). Resonant porous penetrative convection. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 460(2050), 2913-2927. https://doi.org/10.1098/rspa.2004.1292

An interesting convection situation is studied in a porous medium. We show that there is a range in which the convection may switch from the lower part of the layer to being predominantly in the upper part of the layer. Both linear instability and no... Read More about Resonant porous penetrative convection.

Explosive instabilities in heat transmission (2002)
Journal Article
Quintanilla, R., & Straughan, B. (2002). Explosive instabilities in heat transmission. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 458, 2833-2837