All Outputs (84)

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.

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%2900073-7

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.

A naturally efficient numerical technique for porous convection stability with non-trivial boundary conditions (2000)
Journal Article
Payne, L., & Straughan, B. (2000). A naturally efficient numerical technique for porous convection stability with non-trivial boundary conditions. International Journal for Numerical Methods in Engineering, 24, 815-836

Unconditional nonlinear stability in temperature - dependent viscosity flow in a porous medium (2000)
Journal Article
Payne, L., & Straughan, B. (2000). Unconditional nonlinear stability in temperature - dependent viscosity flow in a porous medium. Studies in Applied Mathematics, 105, 59-81

Growth and uniqueness in thermoelasticity (2000)
Journal Article
Quintanilla, R., & Straughan, B. (2000). Growth and uniqueness in thermoelasticity. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 456, 1419-1429

Effect of errors in the spatial geometry for temperature dependent Stokes flow (1999)
Journal Article
Payne, L., & Straughan, B. (1999). Effect of errors in the spatial geometry for temperature dependent Stokes flow. Journal de Mathématiques Pures et Appliquées, 78, 609-632

Convergence for the equations for a Maxwell fluid (1999)
Journal Article
Payne, L., & Straughan, B. (1999). Convergence for the equations for a Maxwell fluid. Studies in Applied Mathematics, 103, 267-278

Convergence, continuous dependence and decay for the Brinkman--Forchheimer equations (1999)
Journal Article
Payne, L., & Straughan, B. (1999). Convergence, continuous dependence and decay for the Brinkman--Forchheimer equations. Studies in Applied Mathematics, 102, 419-439

Continuous dependence and convergence results for Brinkman and Forchheimer models with variable viscosity (1999)
Journal Article
Payne, L., Song, J., & Straughan, B. (1999). Continuous dependence and convergence results for Brinkman and Forchheimer models with variable viscosity. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 455, 2173-2190

Analysis of the boundary condition at the interface between a viscous fluid and a porous medium and related modeling questions (1998)
Journal Article
Payne, L., & Straughan, B. (1998). Analysis of the boundary condition at the interface between a viscous fluid and a porous medium and related modeling questions. Journal de Mathématiques Pures et Appliquées, 77, 317-354

Structural stability for the Darcy equations of flow in porous media (1998)
Journal Article
Payne, L., & Straughan, B. (1998). Structural stability for the Darcy equations of flow in porous media. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 454, 1691-1698

Multi component diffusion and penetrative convection (1997)
Journal Article
Straughan, B., & Walker, D. (1997). Multi component diffusion and penetrative convection. Fluid Dynamics Research, 19, 77-89

Penetrative convection in thawing subsea permafrost (1997)
Journal Article
Hutter, K., & Straughan, B. (1997). Penetrative convection in thawing subsea permafrost. Continuum Mechanics and Thermodynamics, 9, 259--272

Two very accurate and efficient methods for computing eigenvalues and eigenfunctions in porous convection problems. (1996)
Journal Article
Straughan, B., & Walker, D. (1996). Two very accurate and efficient methods for computing eigenvalues and eigenfunctions in porous convection problems. Journal of Computational Physics, 127(1), 128-141

Stability in the initial-time geometry problem for the Brinkman and Darcy equations of flow in porous media (1996)
Journal Article
Payne, L., & Straughan, B. (1996). Stability in the initial-time geometry problem for the Brinkman and Darcy equations of flow in porous media. Journal de Mathématiques Pures et Appliquées, 75, 225-271