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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

Global stability for convection induced by absorption of radiation (2002)
Journal Article
Straughan, B. (2002). Global stability for convection induced by absorption of radiation. Dynamics of Atmospheres and Oceans, 35(4), 351-361. https://doi.org/10.1016/s0377-0265%2802%2900051-9

We study the linear instability and nonlinear stability of a model, for convection induced by selective absorption of radiation, due to Krishnamurti. The nonlinear analysis yields critical Rayleigh numbers very close to the critical ones of linear in... Read More about Global stability for convection induced by absorption of radiation.

Sharp global nonlinear stability for temperature dependent viscosity convection (2002)
Journal Article
Straughan, B. (2002). Sharp global nonlinear stability for temperature dependent viscosity convection. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 458(2023), 1773-1782. https://doi.org/10.1098/rspa.2001.0945

With regard to the dependence of viscosity on temperature, an unconditional non-linear energy-stability analysis for thermal convection according to Navier-Stokes theory has not yet been developed. We here analyse three models of fluid behaviour prop... Read More about Sharp global nonlinear stability for temperature dependent viscosity convection.