# Staff Profile

## Professor Brian Straughan

**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
- Numerical Analysis

### Research Interests

- Computational mathematics
- Partial differential equations
- Stability

### Publications

#### Journal papers: academic

**Straughan, B**(2013). Porous convection with local thermal non-equilibrium temperatures and with Cattaneo effects in the solid.*Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences***469**(2157): 20130187.**Straughan, B**(2012). Triply resonant penetrative convection.*Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences***468**(2148): 3804-3823.**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.