# Members

## Professor Brian Straughan

**Leader of Work Package 3 in Tipping Points Research Project**

Telephone: +44 (0) 191 33 43102

Room number: CM223

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

### Publications

#### Journal papers: academic

- Straughan, B 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*. 2013;469:20130187. - Straughan, B Triply resonant penetrative convection.
*Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences*. 2012;468:3804-3823. - Straughan, B Tipping points in Cattaneo-Christov thermohaline convection.
*Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences*. 2011;467:7-18. - Straughan, B Green-Naghdi fluid with non-thermal equilibrium effects.
*Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences*. 2010;466:2021-2032. - Payne, LE & Straughan, B Decay for a Keller-Segel chemotaxis model.
*Studies in Applied Mathematics*. 2009;123:337-360. - Hill, AA & Straughan, B Global stability for thermal convection in a fluid overlying a highly porous material.
*Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences*. 2009;465:207-217. - Mulone, G & Straughan, B Nonlinear stability for diffusion models in biology.
*SIAM Journal on Applied Mathematics*. 2009;69:1739-1758. - Hill, A. A. & Straughan, B. Poiseuille flow in a fluid overlying a porous medium.
*Journal of Fluid Mechanics*. 2008;603:137-149. - R. Quintanilla & B. Straughan Discontinuity waves in type III thermoelasticity. 2004.
- J.I. Diaz & B. Straughan Global stability for convection when the viscosity\r\nhas a maximum. 2004.
- M. Carr Penetrative convection in a superposed porous-medium-fluid layer via internal heating. 2004.
- B. Straughan The energy method, stability, and nonlinear convection. 2004.
- M. Carr A model for convection in the evolution of under-ice melt ponds. 2003.
- F. Franchi & B. Straughan Continuous dependence and decay for the Forchheimer equations. 2003.
- B. Straughan Hydrodynamic stability, the Chebyshev tau method and spurious eigenvalues. 2003.
- D. Bourne (final year undergraduate project supervised by B.S. Straughan) Hydrodynamic stability, the Chebyshev tau method and spurious eigenvalues. 2003.
- M. Carr & B. Straughan Penetrative convection in a fluid overlying a porous layer. 2003.
- M. Carr Unconditional nonlinear stability for temperature dependent density flow in a porous medium. 2003.
- B. Straughan Effect of property variation and modelling on convection\nin a fluid overlying a porous layer. 2002.
- Quintanilla, R. & Straughan, B. Explosive instabilities in heat transmission. 2002.
- Straughan, B. Global stability for convection induced by absorption of radiation.
*Dynamics of Atmospheres and Oceans*. 2002;35:351-361. - Straughan, B. Sharp global nonlinear stability for temperature dependent viscosity convection.
*Proceedings of the Royal Society A Mathematical, Physical and Engineering Sciences*. 2002;458:1773-1782. - Franchi, F. & Straughan, B. A comparison of the Graffi and Kazhikov-Smagulov models for top heavy pollution instability. 2001.
- Straughan, B. A sharp nonlinear stability threshold in rotating porous convection.
*Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences*. 2001;457:87-93. - L.E. Payne, J.F. Rodrigues & B. Straughan Effect of anisotropic permeability on Darcy's Law. 2001.
- B. Straughan Porous Convection, the Chebyshev Tau Method, and Spurious Eigenvalues. 2001.
- B. Straughan Surface tension driven convection in a fluid overlying\na porous layer. 2001.
- Payne, L.E. & Straughan, B. A naturally efficient numerical technique for porous convection stability with non-trivial boundary conditions. 2000.
- Quintanilla R. & Straughan, B. Growth and uniqueness in thermoelasticity. 2000.
- Payne, L.E. & Straughan, B. Unconditional nonlinear stability in temperature - dependent viscosity flow in a porous medium. 2000.
- Straughan B & L.E. Payne Unconditional nonlinear stability in temperature-dependent viscosity flow in a porous medium.
*Studies in Applied Mathematics 105 59-81*. 2000. - Payne, L.E., Song J.C. & Straughan, B. Continuous dependence and convergence results for Brinkman and Forchheimer models with variable viscosity. 1999.
- Payne, L.E. & Straughan, B. Convergence for the equations for a Maxwell fluid. 1999.
- Payne, L.E. & Straughan, B. Convergence, continuous dependence and decay for the Brinkman--Forchheimer equations. 1999.
- Straughan B & L.E. Payne Effect of errors in the spatial geometry for temperature dependent Stokes flow.
*J. Math. Pures et Appl. 78 609-632*. 1999. - Payne, L.E. & Straughan, B. Effect of errors in the spatial geometry for temperature dependent Stokes flow. 1999.
- Payne, L.E. & Straughan, B. Analysis of the boundary condition at the interface between a viscous fluid and a porous medium and related modeling questions. 1998.
- Payne, L.E. & Straughan, B. Structural stability for the Darcy equations of flow in porous media. 1998.
- Straughan, B. & D.W. Walker Multi component diffusion and penetrative convection. 1997.
- K. Hutter & Straughan, B. Penetrative convection in thawing subsea permafrost. 1997.
- Straughan, B. & Walker, D.W. Anisotropic porous penetrative convection. 1996.
- Dongarra, J.J., Straughan, B. & Walker, D.W. Chebyshev tau - QZ algorithm methods for calculating spectra of hydrodynamic stability problems. 1996.
- Payne, L.E. & Straughan, B. Stability in the initial-time geometry problem for the Brinkman and Darcy equations of flow in porous media. 1996.
- F. Franchi & Straughan, B Structural stability for the Brinkman equations of porous media. 1996.
- Straughan, B. & Walker, D.W. Two very accurate and efficient methods for computing eigenvalues and eigenfunctions in porous convection problems. 1996.
- Mulone, G., Rionero S. & Straughan, B. Unconditional nonlinear stability in a polarized dielectric liquid. 1996.