Continuous dependence and decay for the Forchheimer equations
(2003)
Journal Article
Franchi, F., & Straughan, B. (2003). Continuous dependence and decay for the Forchheimer equations. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 459, 3195-3202
Outputs (87)
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
Effect of property variation and modelling on convection\nin a fluid overlying a porous layer. (2002)
Journal Article
Straughan, B. (2002). Effect of property variation and modelling on convection\nin a fluid overlying a porous layer. International Journal for Numerical Methods in Engineering, 26, 75-97
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%2900051-9We 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.2001.0945With 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.
Effect of anisotropic permeability on Darcy's Law (2001)
Journal Article
Payne, L., Rodrigues, J., & Straughan, B. (2001). Effect of anisotropic permeability on Darcy's Law. Mathematical Methods in the Applied Sciences, 24, 427-438
Porous Convection, the Chebyshev Tau Method, and Spurious Eigenvalues. (2001)
Book Chapter
Straughan, B. (2001). Porous Convection, the Chebyshev Tau Method, and Spurious Eigenvalues. In B. Straughan, R. Greve, H. Ehrentraut, & Y. Wang (Eds.), Continuum Mechanics and Applications in Geophysics and the Environment (140-152). Springer Verlag
Surface tension driven convection in a fluid overlying\na porous layer. (2001)
Journal Article
Straughan, B. (2001). Surface tension driven convection in a fluid overlying\na porous layer. Journal of Computational Physics, 170, 320-337
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%2900073-7A 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.2000.0657A 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.