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Centre for the Coevolution of Biology and Culture

Members

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Professor Brian Straughan

Telephone: +44 (0) 191 33 43102
Room number: CM223
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.

Indicators of Esteem

  • 'Committee Duties': 'Membership of Committees \nChairman of EPSRC Mathematics Postdoctoral\nFellowship Sifting Meeting, EPSRC Offices Swindon, 27 March, 2001.\nChairman of the Interviewing Panel for EPSRC Mathematics\nPostdoctoral Fellowships 2001, London, 18/19 April, 2001.\nMember of EPSRC Mathematics Senior and Advanced\nFellowship Sifting Meeting.\nEPSRC Offices Swindon, 19 November, 2001.\nMember of the Interviewing Panel for EPSRC Mathematics\nAdvanced Fellowships 2002, London, 19/20 December, 2001.\nMember of the Interviewing Panel for EPSRC Mathematics\nAdvanced Fellowships 2002, London, 14 January, 2002.\nMember of EPSRC Mathematics Senior and Advanced\nFellowship Sifting Meeting. EPSRC Offices Swindon, 16 April, 2003.\nMember of the Interviewing Panel for EPSRC Mathematics\nAdvanced Fellowships 2003, EPSRC Offices Swindon, 19, 20 May, 2003.\nMember of EPSRC Multidisciplinary Critical Mass Outline Panel,\nEPSRC Offices, Swindon, July 2004.'
  • 'Editorial Duties': 'Membership of Editorial Boards. \nMember of the Editorial Advisory Board of the Springer journal\nActa Mechanica\nMember of the Editorial Board of the\nSpringer journal Continuum Mechanics and Thermodynamics\nMember of the Editorial Board of Rendiconto dell'Accademia\ndelle Scienze Fisiche e Matematiche: Napoli.'
  • 'National and International Collaboration': 'International Collaboration 2002-2004 \nMember of a five person team awarded 200,704 Euros\nfrom the European Community for the project ``Diffusion and improvement\nof mathematical knowledge in Europe". Coordinated by The University of\nBologna, and involving also The Universities of Bochum, Cyprus, Durham, and\nParis.'
  • 'Plenary and invited talks': 'Invited Lectures at International Conferences \n\nInvited Main Speaker, 11th International Conference\non Waves and Stability, Porto Ercole, Italy, June 2001.\nInvited Speaker, Conference\non Continuum Mechanics and Thermodynamics, Potsdam, Germany, July 2001.\nInvited speaker at a conference of the \nIrish Mechanics Society, in Galway, July 2002.\nInvited speaker at a STAMM conference in Maiori, September 2002. \nInvited speaker at a conference in Oberwolfach, December 2002. \nInvited Main Speaker, Conference\non New Trends in Mathematical Physics, Napoli, Italy, January 2003.\nInvited Main Speaker, 12th International Conference\non Waves and Stability, Villasimius, Sardegna, Italy, June 2003.\nInvited Main Speaker, International Conference on \nElliptic and Parabolic Problems, Cagliari, Italy, June 2003.\nInvited Main Speaker, Conference on \nComplex Fluids, University of the West of England, Bristol, June 2003.\nInvited Main Speaker, International Conference on \nModels and Methods in Fluid Mechanics, Abbottabad, Pakistan, June 2003.\nInvited to give a course of 6 lectures on Porous Flow, at the International\nSummer School in Mathematical Physics, Ravello, Italy, September 2003.\nInvited Main Speaker, Conference on Spectral Theory, Cardiff.\nTitle of talk, ``Decay bounds in a model for aggregation of microglia:\napplication to Alzheimer's disease senile plaques", December 2003.\nInvited Main Speaker, International Conference on \nEvolution Problems, Rapallo, Italy, March 2004.\n\noindent Invited Main Speaker, Conference on ``Modelli Matematici e Problemi Analitici per Materiali Speciali",\nSal\'o, Lago di Garda, Italy, July 2004.\n\noindent Invited Main Speaker, Conference on \nSpectral Theory, in honour of Brian Davies, F.R.S., Cardiff, July 2004.\n\noindent Invited Plenary Talk, GAMM annual conference, University of Luxemburg, March 2005.\n\noindent Invited Main Speaker, 13th International Conference\non Waves and Stability, Acireale, Sicily, Italy, June 2005.'