My field of research is partial differential equations, scientific computing, and their applications to problems in the real world.

• Some refereed papers on Numerical/Computational work:
  • B. Straughan and D.W. Walker. Two very accurate and efficient methods for computing eigenvalues and eigenfunctions in porous convection problems. J. Computational Phys., 127 (1996), 128-141.
  • J.J. Dongarra, B. Straughan and D.W. Walker. Chebyshev tau - QZ algorithm methods for calculating spectra of hydrodynamic stability problems. Appl. Numer. Math., 22 (1996), 399-435.
  • L.E. Payne and B. Straughan. A naturally efficient numerical technique for porous convection stability with non-trivial boundary conditions. Int. J. Numer. Analytical Methods Geomech., 24 (2000), 815-836.
  • F. Franchi and B. Straughan. A comparison of the Graffi and Kazhikhov-Smagulov models for top heavy pollution instability. Advances in Water Resources, 24 (2001), 585-594.
  • B. Straughan. Surface tension driven convection in a fluid overlying a porous layer. J. Computational Phys., 170 (2001), 320-337.
  • B. Straughan. Effect of property variation and modelling on convection in a fluid overlying a porous layer. Int. J. Numer. Analytical Methods Geomech., 26 (2002), 75-97.
  • A.A. Hill and B. Straughan. A Legendre spectral element method for eigenvalues in hydrodynamic stability. J. Computational Appl. Math., 193 (2006), 363-381.
  • A.A. Hill and B. Straughan. Linear and nonlinear stability thresholds for thermal convection in a box. Math. Meth. Appl. Sci., 29 (2006), 2123--2132.

• Some refereed papers on Convection:
  • L.E. Payne and B. Straughan. Unconditional nonlinear stability in temperature - dependent viscosity flow in a porous medium. Stud. Appl. Math., 105 (2000), 59-81.
  • B. Straughan. A sharp nonlinear stability threshold in rotating porous convection. Proc. Roy. Soc. London A, 457 (2001), 87-93.
  • B. Straughan. Sharp global nonlinear stability for temperature dependent viscosity convection. Proc. Roy. Soc. London A, 458 (2002), 1773-1782.
  • B. Straughan. Global stability for convection induced by absorption of radiation. Dynamics of Atmospheres and Oceans, 35 (2002), 351-361.
  • B. Straughan. Resonant porous penetrative convection. Proc. Roy. Soc. London A, 460 (2004), 2913-2927.
  • B. Straughan. Global nonlinear stability in porous convection with a thermal non-equilibrium model. Proc. Roy. Soc. London A, 462 (2006), 409-418.

• Refereed papers on Fluid/Porous flow:
  • L.E. Payne and B. Straughan. Analysis of the boundary condition at the interface between a viscous fluid and a porous medium and related modeling questions. J. Math. Pures et Appl., 77 (1998), 317--354.
  • M.H. Chang, F. Chen and B. Straughan. Instability of Poiseuille flow in a fluid overlying a porous layer. J. Fluid Mech. 564 (2006), 287--303.
  • A.A. Hill and B. Straughan. Poiseuille flow in a fluid overlying a porous medium. J. Fluid Mech., 603 (2008), 137--149.
  • A.A. Hill and B. Straughan. Poiseuille flow in a fluid overlying a highly porous material. Advances in Water Resources, 32 (2009), 1609--1614.
  • A.A. Hill and B. Straughan. Global stability for thermal convection in a fluid overlying a highly porous material. Proc. Roy. Soc. London A, 465 (2009), 207--217.

• Refereed papers in Math Biology/Medicine:
• R.A. Quinlan and B. Straughan. Decay bounds in a model for aggregation of microglia: application to Alzheimer's disease senile plaques. Proc. Roy. Soc. London A, 461 (2005), 2887-2897.
• G. Mulone, B. Straughan and W. Wang. Stability of epidemic models with evolution. Stud. Appl. Math., 118 (2007), 117-132.
• G. Mulone and B. Straughan. A note on heroin epidemics. Math. Biosciences, 218 (2009), 138-141.
• G. Mulone and B. Straughan. Nonlinear stability for diffusion models in biology. SIAM J. Appl. Math., 69 (2009), 1739-1758.
• L.E. Payne and B. Straughan. Decay for a Keller-Segel chemotaxis model. Stud. Appl. Math., 123 (2009), 337-360.

• Other recent refereed papers:
  • L.E. Payne and B. Straughan. Effect of errors in the spatial geometry for temperature dependent Stokes flow. J. Math. Pures et Appl., 78 (1999), 609--632.
  • R. Quintanilla and B. Straughan. Growth and uniqueness in thermoelasticity. Proc. Roy. Soc. London A, 456 (2000), 1419-1429.
  • R. Quintanilla and B. Straughan. Explosive instabilities in heat transmission. Proc. Roy. Soc. London A, 458 (2002), 2833-2837.
  • R. Quintanilla and B. Straughan. A note on discontinuity waves in type III thermoelasticity. Proc. Roy. Soc. London A, 460 (2004), 1169-1175.
  • R. Quintanilla and B. Straughan. Energy bounds for some non-standard problems in thermoelasticity. Proc. Roy. Soc. London A, 461 (2005), 1147-1162.
  • R. Quintanilla and B. Straughan. Bounds for some non-standard problems in porous flow and viscous Green-Naghdi fluids. Proc. Roy. Soc. London A, 461 (2005), 3159--3168.
  • S. Chirita, M. Ciarletta and B. Straughan. Structural stability in porous elasticity. Proc. Roy. Soc. London A, 462 (2006), 2593--2605.
  • M. Ciarletta and B. Straughan. Poroacoustic acceleration waves. Proc. Roy. Soc. London A, 462 (2006), 3493--3499.
  • P.M. Jordan and B. Straughan. Acoustic acceleration waves in homentropic Green and Naghdi gases. Proc. Roy. Soc. London A, 462 (2006), 3601--3611.

• Recent research books:
  • B. Straughan. Heat waves. Vol. 177, Appl. Math. Sci. Ser., Springer-Verlag (2011).
  • B. Straughan. Stability and wave motion in porous media. Vol. 165, Appl. Math. Sci. Ser., Springer-Verlag (2008).
  • B. Straughan. The energy method, stability, and nonlinear convection. Vol. 91, Appl. Math. Sci. Ser., Springer-Verlag, Second edition (2004).
  • B. Straughan. Mathematical aspects of penetrative convection. Pitman Research Notes in Mathematics, Vol. 288, Longman Publishing Co. (1993).
  • K.A. Ames and B. Straughan. Non-standard and improperly posed problems. Vol. 194, Mathematics in Science and Engineering Series, Academic Press (1997). ISBN 0120567458
  • B. Straughan. Explosive Instabilities in Mechanics. Springer (1998). ISBN 3-540-63589-0
  • B. Straughan, R. Greve, H. Ehrentraut and Y. Wang. Continuum Mechanics and Applications in Geophysics and the Environment. Springer (2001). ISBN 3-540-41660-9

• Some Ph.D. Theses:
  • Geoffrey McKay. Nonlinear stability analyses of problems in patterned ground formation and penetrative convection (1992).
  • Lorna Richardson. Nonlinear stability analyses for variable viscosity and compressible convection problems (1993).
  • John Tracey. Stability analysis of multi-component convection-diffusion problems (1997).
  • Paula Budu. Conditional and unconditional nonlinear stability in fluid dynamics (2002).
  • Magda Carr. Convection in fluid and porous media (2003).
  • Antony Hill. Convection in porous media and Legendre, Chebyshev Galerkin methods (2005).
  • Mark Webber. Instability of fluid flows, including boundary slip (2007).
  • Jiratchaya Jaisaardsuetrong. Stability and wave motion problems in continuous media with second sound (2009).

• Information on journals
  • Mathematical Methods in the Applied Sciences
  • Journal of Mathematical Analysis and Applications
  • International Journal of Computational and Applied Mathematics
  • Ricerche di Matematica

• Information on conferences
  • XIIth International Conference on WAVES AND STABILITY IN CONTINUOUS MEDIA, Villasimius (Cagliari, Italy) June 1 - 7, 2003
  • New trends in mathematical physics, in honour of Salvatore Rionero, Napoli, January 24 - 25, 2003
  • International conference on Elliptic and Parabolic problems to celebrate the 80th anniversary of Lawrence E. Payne, Cagliari, June 5 - 7, 2003
  • International conference on Evolution Problems in memory of Brunello Terreni Rapallo, March 26 - 27, 2004
  • XIIth International Conference on WAVES AND STABILITY IN CONTINUOUS MEDIA, Acireale (Sicily, Italy) June 19 - 25, 2005
  • International Conference on Mathematical Fluid Mechanics, Estoril, May 21 - 25, 2007
  • Fifth IMACS Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, Athens (Georgia, USA), April 16 - 19, 2007
  • 14th International Conference on WAVES AND STABILITY IN CONTINUOUS MEDIA, Baia Samuele (Sicily, Italy) June 30 - July 6, 2007
  • Mathematical Models for Complex Systems, Cortona, September 29-29, 2007
  • New Trends in Fluid and Solid Models Vietri sul Mare, Italy, February 28, 29, March 1, 2008.
  • Sixth (6th) International Conference of Numerical Analysis and Applied Mathematics, Kos, Greece, 16-20 September, 2008.
  • 15th International Conference on WAVES AND STABILITY IN CONTINUOUS MEDIA, Mondello (Sicily, Italy) June 28 - July 1, 2009
  • Eighth (8th) Workshop in Partial Differentail Equations, Rio de Janeiro, Brazil, 25-28 August, 2009.