Staff profile

My research interests are in the Numerical Analysis of Partial Differential Equations. In particular

1. Degenerate Fourth order problems.
2. On Phase transformation of alloys;

Please visit my Maths Department webpage for more information including contact details.

• numerical analysis

Chapter in book

• Some Remarks on Functional Analysis
  
  Blowey, J. F., & Straughan, B. (2014). Some Remarks on Functional Analysis. In R. B. Hetnarski (Ed.), Encyclopedia of Thermal Stresses. Springer Verlag. https://doi.org/10.1007/978-94-007-2739-7_24
• Curvature dependent phase boundary motion and parabolic double obstacle problems.
  
  Blowey, J., & Elliott, C. (1993). Curvature dependent phase boundary motion and parabolic double obstacle problems. In W.-M. Ni, L. Peletier, & J. Vazquez (Eds.), Degenerate Diffusions : The IMA Volumes in Mathematics and its Applications Volume 47. (pp. 19-60). Springer Verlag. https://doi.org/10.1007/978-1-4612-0885-3_2

Conference Paper

• Finite element approximation of a model for order-disorder and phase separationin binary alloys
  
  Blowey, J., Barrett, J., Feistauer, M., Rannacher, R., & Kozel, K. (2001). Finite element approximation of a model for order-disorder and phase separationin binary alloys. In M. Feistauer, R. Rannacher, & K. Kozel (Eds.), Numerical Modelling in Continuum Mechanics: proceedings of the 4th summer conference held in Prague, 31 July - 4 August, 2000 (pp. 1-17). Matfyzpress.
• A phase field model with double obstacle potential
  
  Blowey, J., Elliott, C., Buttazzo, G., & Visintin, A. (1994). A phase field model with double obstacle potential. In G. Buttazzo & A. Visintin (Eds.), Motion by mean curvature and related topics: Proceedings of the International Conference held at Trento, Italy, 20-24, 1992 (pp. 1-22). De Gruyter. https://doi.org/10.1515/9783110870473.1

Edited book

• Frontiers in Numerical Analysis: Durham 2004.
  
  Blowey, J., & Craig, A. (Eds.). (2005). Frontiers in Numerical Analysis: Durham 2004. Springer Verlag. https://doi.org/10.1007/3-540-28884-8
• Frontiers in Numerical Analysis: Durham 2002.
  
  Blowey, J., Craig, A., & Shardlow, T. (Eds.). (2003). Frontiers in Numerical Analysis: Durham 2002. Springer Verlag. https://doi.org/10.1007/978-3-642-55692-0
• Theory and numerics of differential equations.
  
  Blowey, J., Coleman, J., & Craig, A. (Eds.). (2001). Theory and numerics of differential equations. Springer Verlag.

Journal Article

• Small- and waiting-time behavior of the thin-film equation
  
  Blowey, J., King, J., & Langdon, S. (2007). Small- and waiting-time behavior of the thin-film equation. SIAM Journal on Applied Mathematics, 67(6), 1776-1807. https://doi.org/10.1137/060667682
• A reaction-diffusion system of λ–ω type Part I: Mathematical analysis.
  
  Blowey, J., & Garvie, M. (2005). A reaction-diffusion system of λ–ω typePart I: Mathematical analysis. European Journal of Applied Mathematics, 16(1), 1-19. https://doi.org/10.1017/s0956792504005534
• Global existence and uniqueness of weak solutions to a reaction-diffusion system of lambda-omega type.
  
  Blowey, J., & Garvie, M. (2005). Global existence and uniqueness of weak solutions to a reaction-diffusion system of lambda-omega type. European Journal of Applied Mathematics, 15, 1-19.
• Finite element approximation of a nonlinear cross-diffusion population model
  
  Barrett, J., & Blowey, J. (2004). Finite element approximation of a nonlinear cross-diffusion population model. Numerische Mathematik, 98(2), 195-221. https://doi.org/10.1007/s00211-004-0540-y
• Finite element approximation of an Allen-Cahn/Cahn-Hilliard system
  
  Barrett, J., & Blowey, J. (2002). Finite element approximation of an Allen-Cahn/Cahn-Hilliard system. IMA Journal of Numerical Analysis, 22(1), 11-71. https://doi.org/10.1093/imanum/22.1.11
• On Fully Practical Finite Element Approximations of Degenerate Cahn-Hilliard Systems
  
  Barrett, J., Blowey, J., & Garcke, H. (2001). On Fully Practical Finite Element Approximations of Degenerate Cahn-Hilliard Systems. ESAIM: Mathematical Modelling and Numerical Analysis, 35(4), 713-748. https://doi.org/10.1051/m2an%3A2001133
• An Improved Error Bound for a Finite Element Approximation of a Model for Phase Separation of a Multi-Component Alloy with a Concentration Dependent Mobility Matrix
  
  Barrett, J., & Blowey, J. (2001). An Improved Error Bound for a Finite Element Approximation of a Model for Phase Separation of a Multi-Component Alloy with a Concentration Dependent Mobility Matrix. Numerische Mathematik, 88(2), 255-297. https://doi.org/10.1007/pl00005445
• Finite element approximation of a model for phase separation of a multi-component alloy with degenerate mobility matrix.
  
  Barrett, J., Blowey, J., & Garcke, H. (2001). Finite element approximation of a model for phase separation of a multi-component alloy with degenerate mobility matrix. Modelisation Mathematique Et Analyse Numerique, 35, 713-748.
• Finite Element Approximation of a Degenerate Allen--Cahn/Cahn--Hilliard System
  
  Barrett, J. W., & Blowey, J. F. (2001). Finite Element Approximation of a Degenerate Allen--Cahn/Cahn--Hilliard System. SIAM Journal on Numerical Analysis, 39(5), 1598-1624. https://doi.org/10.1137/s0036142900382144
• An improved error bound for a finite element approximation of a model for phase separation of a multi-component alloy with non-smooth free energy.
  
  Blowey, J., & Barrett, J. (1999). An improved error bound for a finite element approximation of a model for phase separation of a multi-component alloy with non-smooth free energy. Modélisation Mathématique Et Analyse Numérique., 33(5), 971-987. https://doi.org/10.1051/m2an%3A1999129
• Finite element approximation of a model for phase separation of a multi-component alloy with nonsmooth free energy and a concentration dependent mobility matrix.
  
  Blowey, J., & Barrett, J. (1999). Finite element approximation of a model for phase separation of a multi-component alloy with nonsmooth free energy and a concentration dependent mobility matrix. Mathematical Models and Methods in Applied Sciences, 9(5), 627-663. https://doi.org/10.1142/s0218202599000336
• Finite element approximation of the Cahn-Hilliard equation with degenerate mobility.
  
  Blowey, J., Barrett, J., & Garcke, H. (1999). Finite element approximation of the Cahn-Hilliard equation with degenerate mobility. SIAM Journal on Numerical Analysis, 37(1), 286-318. https://doi.org/10.1137/s0036142997331669
• Finite element approximation of the Cahn-Hilliard equation with concentration dependent mobility,
  
  Blowey, J., & Barrett, J. (1999). Finite element approximation of the Cahn-Hilliard equation with concentration dependent mobility,. Mathematics of Computation, 68(226), 487-517. https://doi.org/10.1090/s0025-5718-99-01015-7
• An improved error bound for a finite element approximation of a model for phase separation of a multi-component alloy.
  
  Blowey, J., & Barrett, J. (1999). An improved error bound for a finite element approximation of a model for phase separation of a multi-component alloy. IMA Journal of Numerical Analysis, 19(1), 147-168. https://doi.org/10.1093/imanum/19.1.147
• Finite element approximation of a fourth order nonlinear degenerate parabolic equation.
  
  Blowey, J., Barrett, J., & Garcke, H. (1998). Finite element approximation of a fourth order nonlinear degenerate parabolic equation. Numerische Mathematik, 80(4), 525-556. https://doi.org/10.1007/s002110050377
• Finite element approximation of a model for phase separation of a multi-component alloy with a concentration dependent mobility matrix,
  
  Blowey, J., & Barrett, J. (1998). Finite element approximation of a model for phase separation of a multi-component alloy with a concentration dependent mobility matrix,. IMA Journal of Numerical Analysis, 18(2), 287-328. https://doi.org/10.1093/imanum/18.2.287
• Finite element approximation of a model for phase separation of a multi-component alloy with non-smooth free energy
  
  Blowey, J., & Barrett, J. (1997). Finite element approximation of a model for phase separation of a multi-component alloy with non-smooth free energy. Numerische Mathematik, 77, 1-34.
• Numerical analysis of a model for phase separation of a multicomponent alloy.
  
  Blowey, J., Copetti, M., & Elliott, C. (1996). Numerical analysis of a model for phase separation of a multicomponent alloy. IMA Journal of Numerical Analysis, 16(1), 111-139. https://doi.org/10.1093/imanum/16.1.111
• An Error Bound for the Finite Element Approximation of a Model for Phase Separation of a Multi-Component Alloy
  
  Blowey, J., & Barrett, J. (1996). An Error Bound for the Finite Element Approximation of a Model for Phase Separation of a Multi-Component Alloy. IMA Journal of Numerical Analysis, 16(2), 257-287. https://doi.org/10.1093/imanum/16.2.257
• An error bound for the finite element approximation of the Cahn-Hilliard equation with logarithmic free energy.
  
  Blowey, J., & Barrett, J. (1995). An error bound for the finite element approximation of the Cahn-Hilliard equation with logarithmic free energy. Numerische Mathematik, 72(17), 1-20. https://doi.org/10.1007/s002110050157
• The Cahn-Hilliard gradient theory for phase separation with non-smooth free energy Part II : numerical analysis.
  
  Blowey, J., & Elliott, C. (1992). The Cahn-Hilliard gradient theory for phase separation with non-smooth free energy Part II : numerical analysis. European Journal of Applied Mathematics, 3(2), 147-179. https://doi.org/10.1017/s0956792500000759