Staff profile

• partial differential equations
• computational mathematics
• stability

• Applied Mathematics

• 0000: '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.'
• 0000: '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.'
• 0000: '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.'
• 0000: '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.'

Authored book

• Straughan, B. (2004). The energy method, stability, and nonlinear convection. New York: Springer-Verlag.

Chapter in book

• B. Straughan (2001). Porous Convection, the Chebyshev Tau Method, and Spurious Eigenvalues. In Continuum Mechanics and Applications in Geophysics and the Environment. Straughan, B. Greve, R. Ehrentraut, H. & Wang, Y. Springer. 140-152.

Journal Article

• Straughan, Brian (2023). Effect of Temperature Upon Double Diffusive Instability in Navier–Stokes–Voigt Models with Kazhikhov–Smagulov and Korteweg Terms. Applied Mathematics & Optimization 87: 54.
• Straughan, Brian (2023). Thermal convection in a higher-gradient Navier–Stokes fluid. The European Physical Journal Plus 138(60).
• Straughan, Brian (2022). Thermal convection in a Brinkman–Darcy–Kelvin–Voigt fluid with a generalized Maxwell–Cattaneo law. ANNALI DELL'UNIVERSITA' DI FERRARA
• Straughan, Brian (2022). Effect of anisotropy and boundary conditions on Darcy and Brinkman porous penetrative convection. Environmental Fluid Mechanics
• Straughan, Brian (2022). Continuous dependence and convergence for a Kelvin–Voigt fluid of order one. ANNALI DELL'UNIVERSITA' DI FERRARA 68(1): 49-61.
• Straughan, Brian (2022). Thermal convection with generalized friction. ANNALI DELL'UNIVERSITA' DI FERRARA 68(1): 63-68.
• Straughan, B. (2022). Instability thresholds for thermal convection in a Kelvin–Voigt fluid of variable order. Rendiconti del Circolo Matematico di Palermo Series 2 71(1): 187-206.
• Straughan, Brian (2021). Competitive Double Diffusive Convection in a Kelvin–Voigt Fluid of Order One. Applied Mathematics & Optimization 84(S1): 631-650.
• Straughan, B. (2021). Continuous dependence for the Brinkman–Darcy–Kelvin–Voigt equations backward in time. Mathematical Methods in the Applied Sciences 44(6): 4999-5004.
• Straughan, Brian (2021). Stability in Kelvin–Voigt poroelasticity. Bollettino dell'Unione Matematica Italiana 14(2): 357-366.
• Straughan, Brian (2021). Thermosolutal Convection with a Navier–Stokes–Voigt Fluid. Applied Mathematics & Optimization 84(3): 2587-2599.
• Straughan, B. (2020). Jordan – Cattaneo waves: Analogues of compressible flow. Wave Motion 98: 102637.
• Straughan, Brian (2020). Nonlinear Stability for Thermal Convection in a Brinkman Porous Material with Viscous Dissipation. Transport in Porous Media 134(2): 303-314.
• Gentile, M. & Straughan, B. (2020). Bidispersive thermal convection with relatively large macropores. Journal of Fluid Mechanics 898: a14.
• Franchi, Franca, Nibbi, Roberta & Straughan, Brian (2020). Continuous dependence on boundary and Soret coefficients in double diffusive bidispersive convection. Mathematical Methods in the Applied Sciences 43(15): 8882-8893.
• Straughan, Brian, Tibullo, Vincenzo & Amendola, Ada (2020). Nonlinear acceleration wave propagation in the DKM theory. Mechanics Research Communications 104: 103482.
• Straughan, Brian (2020). Heated and Salted Below Porous Convection with Generalized Temperature and Solute Boundary Conditions. Transport in Porous Media 131(2): 617–631.
• Straughan, B. (2019). Anisotropic bidispersive convection. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 475(2227): 20190206.
• Straughan, B. (2019). Effect of inertia on double diffusive bidispersive convection. International Journal of Heat and Mass Transfer 129: 389-396.
• Straughan, Brian & Tibullo, Vincenzo (2018). Thermal effects on nonlinear acceleration waves in the Biot theory of porous media. Mechanics Research Communications 94: 70-73.
• Straughan, B. (2018). Bidispersive double diffusive convection. International Journal of Heat and Mass Transfer 126: 504-508.
• Straughan, B. (2018). Horizontally isotropic bidispersive thermal convection. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science 474(2213): 20180018.
• Ciarletta, Michele, Straughan, Brian & Tibullo, Vincenzo (2018). Acceleration waves in a nonlinear Biot theory of porous media. International Journal of Non-Linear Mechanics 103: 23-26.
• Gentile, M. & Straughan, B. (2018). Tridispersive thermal convection. Nonlinear Analysis: Real World Applications 42: 378-386.
• Franchi, Franca, Nibbi, Roberta & Straughan, Brian (2017). Continuous dependence on modelling for temperature-dependent bidispersive flow. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science 473(2208): 20170485.
• Gentile, M. & Straughan, B. (2017). Bidispersive vertical convection. Proceedings of the Royal Society A 473(2207): 20170481.
• Franchi, Franca, Nibbi, Roberta & Straughan, Brian (2017). Modelling Bidispersive Local Thermal Non-Equilibrium Flow. Fluids 2(3): 48.
• Gentile, M. & Straughan, B. (2017). Bidispersive thermal convection. International Journal of Heat and Mass Transfer 114: 837-840.
• Giacobbe, Andrea, Mulone, Giuseppe, Straughan, Brian & Wang, Wendi (2017). Modelling drinking with information. Mathematical Methods in the Applied Sciences 40(12): 4400-4411.
• Gentile, M. & Straughan, B. (2016). Hyperbolic diffusion with Christov–Morro theory. Mathematics and Computers in Simulation 127: 94-100.
• Straughan, B. (2015). Exchange of stability in Cattaneo–LTNE porous convection. International Journal of Heat and Mass Transfer 89: 792-798.
• Straughan, Brian (2014). Shocks and acceleration waves in modern continuum mechanics and in social systems. Evolution Equations and Control Theory 3(3): 541-555.
• Straughan, Brian (2014). Resonant Penetrative Convection with an Internal Heat Source/Sink. Acta Applicandae Mathematicae 132(1): 561-581.
• 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.
• 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.
• Payne, LE & Straughan, B (2009). Decay for a Keller-Segel chemotaxis model. Studies in Applied Mathematics 123(4): 337-360.
• 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.
• J.I. Diaz & B. Straughan (2004). Global stability for convection when the viscosity\r\nhas a maximum. Continuum Mechanics and Thermodynamics 16: 347-352.
• R. Quintanilla & B. Straughan (2004). Discontinuity waves in type III thermoelasticity. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 460: 1169-1175.
• M. Carr (2004). Penetrative convection in a superposed porous-medium-fluid layer via internal heating. Journal of Fluid Mechanics 509: 305-329.
• M. Carr & B. Straughan (2003). Penetrative convection in a fluid overlying a porous layer. Advances in Water Resources 26: 263--276.
• F. Franchi & B. Straughan (2003). Continuous dependence and decay for the Forchheimer equations. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 459: 3195-3202.
• M. Carr (2003). A model for convection in the evolution of under-ice melt ponds. Continuum Mechanics and Thermodynamics 15: 45-54.
• B. Straughan (2003). Hydrodynamic stability, the Chebyshev tau method and spurious eigenvalues. Continuum Mechanics and Thermodynamics 15: 571-579.
• M. Carr (2003). Unconditional nonlinear stability for temperature dependent density flow in a porous medium. Mathematical Models and Methods in Applied Sciences 13: 207-222.
• B. Straughan (2002). Effect of property variation and modelling on convection\nin a fluid overlying a porous layer. International Journal for Numerical and Analytical Methods in Geomechanics 26: 75-97.
• Straughan, B. (2002). Global stability for convection induced by absorption of radiation. Dynamics of Atmospheres and Oceans 35(4): 351-361.
• Quintanilla, R. & Straughan, B. (2002). Explosive instabilities in heat transmission. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 458: 2833-2837.
• 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 Kazhikhov–Smagulov models for top heavy pollution instability. Advances in Water Resources 24(6): 585-594.
• B. Straughan (2001). Surface tension driven convection in a fluid overlying\na porous layer. Journal of Computational Physics 170 : 320-337.
• 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. Mathematical Methods in the Applied Sciences 24: 427-438.
• Payne, L.E. & Straughan, B. (2000). A naturally efficient numerical technique for porous convection stability with non-trivial boundary conditions. International Journal for Numerical and Analytical Methods in Geomechanics 24: 815-836.
• Payne, L.E. & Straughan, B. (2000). Unconditional nonlinear stability in temperature - dependent viscosity flow in a porous medium. Studies in Applied Mathematics 105 : 59-81.
• Quintanilla R. & Straughan, B. (2000). Growth and uniqueness in thermoelasticity. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 456 : 1419-1429.
• Payne, L.E., Song J.C. & Straughan, B. (1999). Continuous dependence and convergence results for Brinkman and Forchheimer models with variable viscosity. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 455 : 2173-2190.
• Payne, L.E. & Straughan, B. (1999). Effect of errors in the spatial geometry for temperature dependent Stokes flow. Journal de Mathématiques Pures et Appliquées 78: 609-632.
• Payne, L.E. & Straughan, B. (1999). Convergence, continuous dependence and decay for the Brinkman--Forchheimer equations. Studies in Applied Mathematics 102 : 419-439.
• Payne, L.E. & Straughan, B. (1999). Convergence for the equations for a Maxwell fluid. Studies in Applied Mathematics 103 : 267-278.
• Payne, L.E. & Straughan, B. (1998). Structural stability for the Darcy equations of flow in porous media. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 454 : 1691-1698.
• 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. Journal de Mathématiques Pures et Appliquées 77: 317-354.
• Straughan, B. & D.W. Walker (1997). Multi component diffusion and penetrative convection. Fluid Dynamics Research 19: 77-89.
• K. Hutter & Straughan, B. (1997). Penetrative convection in thawing subsea permafrost. Continuum Mechanics and Thermodynamics 9: 259--272.
• F. Franchi & Straughan, B (1996). Structural stability for the Brinkman equations of porous media. Mathematical Methods in the Applied Sciences 19: 1335-1347.
• Payne, L.E. & Straughan, B. (1996). Stability in the initial-time geometry problem for the Brinkman and Darcy equations of flow in porous media. Journal de Mathématiques Pures et Appliquées 75: 225-271.
• Straughan, B. & Walker, D.W. (1996). Two very accurate and efficient methods for computing eigenvalues and eigenfunctions in porous convection problems. Journal of Computational Physics 127(1): 128-141.
• Mulone, G., Rionero S. & Straughan, B. (1996). Unconditional nonlinear stability in a polarized dielectric liquid. Atti della Accademia Nazionale dei Lincei 9(7): 241-252.
• Dongarra, J.J., Straughan, B. & Walker, D.W. (1996). Chebyshev tau - QZ algorithm methods for calculating spectra of hydrodynamic stability problems. Applied Numerical Mathematics 22: 399-435.
• Straughan, B. & Walker, D.W. (1996). Anisotropic porous penetrative convection. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 452: 97-115.