Staff Profile

Professor Brian Straughan

Professor of Department of Mathematical Sciences

Telephone: +44 (0) 191 33 43102

Room number: CM223

Member of the Centre for the Coevolution of Biology and Culture

Leader of Work Package 3 in Tipping Points Research Project

Contact Professor Brian Straughan (email at brian.straughan@durham.ac.uk)

Research Groups

Department of Mathematical Sciences

Computational Applied Mathematics

Research Interests

Computational mathematics
Partial differential equations
Stability

Publications

Journal papers: academic

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.
Straughan, B (2010). Green-Naghdi fluid with non-thermal equilibrium effects. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 466(2119): 2021-2032.
Payne, LE & Straughan, B (2009). Decay for a Keller-Segel chemotaxis model. Studies in Applied Mathematics 123(4): 337-360.
Hill, AA & Straughan, B (2009). Global stability for thermal convection in a fluid overlying a highly porous material. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 465(2101): 207-217.
Mulone, G & Straughan, B (2009). Nonlinear stability for diffusion models in biology. SIAM Journal on Applied Mathematics 69(6): 1739-1758.
Hill, A. A. & Straughan, B. (2008). Poiseuille flow in a fluid overlying a porous medium. Journal of Fluid Mechanics 603: 137-149.
R. Quintanilla & B. Straughan (2004). Discontinuity waves in type III thermoelasticity.
J.I. Diaz & B. Straughan (2004). Global stability for convection when the viscosity\r\nhas a maximum.
M. Carr (2004). Penetrative convection in a superposed porous-medium-fluid layer via internal heating.
B. Straughan (2004). The energy method, stability, and nonlinear convection.
M. Carr (2003). A model for convection in the evolution of under-ice melt ponds.
F. Franchi & B. Straughan (2003). Continuous dependence and decay for the Forchheimer equations.
B. Straughan (2003). Hydrodynamic stability, the Chebyshev tau method and spurious eigenvalues.
D. Bourne (final year undergraduate project supervised by B.S. Straughan) (2003). Hydrodynamic stability, the Chebyshev tau method and spurious eigenvalues.
M. Carr & B. Straughan (2003). Penetrative convection in a fluid overlying a porous layer.
M. Carr (2003). Unconditional nonlinear stability for temperature dependent density flow in a porous medium.
B. Straughan (2002). Effect of property variation and modelling on convection\nin a fluid overlying a porous layer.
Quintanilla, R. & Straughan, B. (2002). Explosive instabilities in heat transmission.
Straughan, B. (2002). Global stability for convection induced by absorption of radiation. Dynamics of Atmospheres and Oceans 35(4): 351-361.
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.
Franchi, F. & Straughan, B. (2001). A comparison of the Graffi and Kazhikov-Smagulov models for top heavy pollution instability.
Straughan, B. (2001). A sharp nonlinear stability threshold in rotating porous convection. Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences 457(2005): 87-93.
L.E. Payne, J.F. Rodrigues & B. Straughan (2001). Effect of anisotropic permeability on Darcy's Law.
B. Straughan (2001). Porous Convection, the Chebyshev Tau Method, and Spurious Eigenvalues.
B. Straughan (2001). Surface tension driven convection in a fluid overlying\na porous layer.
Payne, L.E. & Straughan, B. (2000). A naturally efficient numerical technique for porous convection stability with non-trivial boundary conditions.
Quintanilla R. & Straughan, B. (2000). Growth and uniqueness in thermoelasticity.
Payne, L.E. & Straughan, B. (2000). Unconditional nonlinear stability in temperature - dependent viscosity flow in a porous medium.
Straughan B & L.E. Payne (2000). Unconditional nonlinear stability in temperature-dependent viscosity flow in a porous medium. Studies in Applied Mathematics 105 59-81
Payne, L.E., Song J.C. & Straughan, B. (1999). Continuous dependence and convergence results for Brinkman and Forchheimer models with variable viscosity.
Payne, L.E. & Straughan, B. (1999). Convergence for the equations for a Maxwell fluid.
Payne, L.E. & Straughan, B. (1999). Convergence, continuous dependence and decay for the Brinkman--Forchheimer equations.
Straughan B & L.E. Payne (1999). Effect of errors in the spatial geometry for temperature dependent Stokes flow. J. Math. Pures et Appl. 78 609-632
Payne, L.E. & Straughan, B. (1999). Effect of errors in the spatial geometry for temperature dependent Stokes flow.
Payne, L.E. & Straughan, B. (1998). Analysis of the boundary condition at the interface between a viscous fluid and a porous medium and related modeling questions.
Payne, L.E. & Straughan, B. (1998). Structural stability for the Darcy equations of flow in porous media.
Straughan, B. & D.W. Walker (1997). Multi component diffusion and penetrative convection.
K. Hutter & Straughan, B. (1997). Penetrative convection in thawing subsea permafrost.
Straughan, B. & Walker, D.W. (1996). Anisotropic porous penetrative convection.
Dongarra, J.J., Straughan, B. & Walker, D.W. (1996). Chebyshev tau - QZ algorithm methods for calculating spectra of hydrodynamic stability problems.
Payne, L.E. & Straughan, B. (1996). Stability in the initial-time geometry problem for the Brinkman and Darcy equations of flow in porous media.
F. Franchi & Straughan, B (1996). Structural stability for the Brinkman equations of porous media.
Straughan, B. & Walker, D.W. (1996). Two very accurate and efficient methods for computing eigenvalues and eigenfunctions in porous convection problems.
Mulone, G., Rionero S. & Straughan, B. (1996). Unconditional nonlinear stability in a polarized dielectric liquid.