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Tipping Points

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. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2004;460:1169-1175.
  • J.I. Diaz & B. Straughan Global stability for convection when the viscosity\r\nhas a maximum. Continuum Mechanics and Thermodynamics. 2004;16:347-352.
  • M. Carr Penetrative convection in a superposed porous-medium-fluid layer via internal heating. Journal of Fluid Mechanics. 2004;509:305-329.
  • B. Straughan The energy method, stability, and nonlinear convection. 2004.
  • M. Carr A model for convection in the evolution of under-ice melt ponds. Continuum Mechanics and Thermodynamics. 2003;15:45-54.
  • F. Franchi & B. Straughan Continuous dependence and decay for the Forchheimer equations. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2003;459:3195-3202.
  • B. Straughan Hydrodynamic stability, the Chebyshev tau method and spurious eigenvalues. Continuum Mechanics and Thermodynamics. 2003;15:571-579.
  • M. Carr & B. Straughan Penetrative convection in a fluid overlying a porous layer. Advances in Water Resources. 2003;26:263--276.
  • M. Carr Unconditional nonlinear stability for temperature dependent density flow in a porous medium. Mathematical Models and Methods in Applied Sciences. 2003;13:207-222.
  • B. Straughan Effect of property variation and modelling on convection\nin a fluid overlying a porous layer. International Journal for Numerical and Analytical Methods in Geomechanics. 2002;26:75-97.
  • Quintanilla, R. & Straughan, B. Explosive instabilities in heat transmission. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2002;458:2833-2837.
  • 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. Advances in Water Resources. 2001;24:585-594.
  • 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. Mathematical Methods in the Applied Sciences. 2001;24:427-438.
  • B. Straughan Surface tension driven convection in a fluid overlying\na porous layer. Journal of Computational Physics. 2001;170320-337.
  • Payne, L.E. & Straughan, B. A naturally efficient numerical technique for porous convection stability with non-trivial boundary conditions. International Journal for Numerical and Analytical Methods in Geomechanics. 2000;24:815-836.
  • Quintanilla R. & Straughan, B. Growth and uniqueness in thermoelasticity. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2000;4561419-1429.
  • Payne, L.E. & Straughan, B. Unconditional nonlinear stability in temperature - dependent viscosity flow in a porous medium. Studies in Applied Mathematics. 2000;10559-81.
  • Payne, L.E., Song J.C. & Straughan, B. Continuous dependence and convergence results for Brinkman and Forchheimer models with variable viscosity. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 1999;4552173-2190.
  • Payne, L.E. & Straughan, B. Convergence for the equations for a Maxwell fluid. Studies in Applied Mathematics. 1999;103267-278.
  • Payne, L.E. & Straughan, B. Convergence, continuous dependence and decay for the Brinkman--Forchheimer equations. Studies in Applied Mathematics. 1999;102419-439.
  • Payne, L.E. & Straughan, B. Effect of errors in the spatial geometry for temperature dependent Stokes flow. Journal de Mathématiques Pures et Appliquées. 1999;78:609-632.
  • 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. Journal de Mathématiques Pures et Appliquées. 1998;77:317-354.
  • Payne, L.E. & Straughan, B. Structural stability for the Darcy equations of flow in porous media. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 1998;4541691-1698.
  • Straughan, B. & D.W. Walker Multi component diffusion and penetrative convection. Fluid Dynamics Research. 1997;19:77-89.
  • K. Hutter & Straughan, B. Penetrative convection in thawing subsea permafrost. Continuum Mechanics and Thermodynamics. 1997;9:259--272.
  • Straughan, B. & Walker, D.W. Anisotropic porous penetrative convection. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 1996;452:97-115.
  • Dongarra, J.J., Straughan, B. & Walker, D.W. Chebyshev tau - QZ algorithm methods for calculating spectra of hydrodynamic stability problems. Applied Numerical Mathematics. 1996;22:399-435.
  • Payne, L.E. & Straughan, B. Stability in the initial-time geometry problem for the Brinkman and Darcy equations of flow in porous media. Journal de Mathématiques Pures et Appliquées. 1996;75:225-271.
  • F. Franchi & Straughan, B Structural stability for the Brinkman equations of porous media. Mathematical Methods in the Applied Sciences. 1996;19:1335-1347.
  • Straughan, B. & Walker, D.W. Two very accurate and efficient methods for computing eigenvalues and eigenfunctions in porous convection problems. Journal of Computational Physics. 1996;127:128-141.
  • Mulone, G., Rionero S. & Straughan, B. Unconditional nonlinear stability in a polarized dielectric liquid. Atti della Accademia Nazionale dei Lincei. 1996;Ser. IX:241--252.

Books: sections