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

• Teaching

Available for media contact about:

• Numerical analysis: Science and Engineering Ambassador

Chapter in book

• Blowey, James F. & Straughan, Brian (2014). Some Remarks on Functional Analysis. In Encyclopedia of Thermal Stresses. Hetnarski, Richard B. Dordrecht: Springer.
• Blowey, J.F. & Elliott, C.M. (1993). Curvature dependent phase boundary motion and parabolic double obstacle problems. In Degenerate Diffusions The IMA Volumes in Mathematics and its Applications Volume 47. Ni, W.-M., Peletier, L.A. & Vazquez, J.L. New York: Springer. 19-60.

Conference Paper

• Blowey, J.F. & Barrett, J.W. (2001), Finite element approximation of a model for order-disorder and phase separationin binary alloys, in Feistauer, Miloslav, Rannacher, R. & Kozel, Karel eds, 4th Summer Conference on Numerical Modelling in Continuum Mechanics. Prague, Matfyzpress, Prague, 1-17.
• Blowey, J.F. & Elliott, C.M. (1994), A phase field model with double obstacle potential, in Buttazzo G. & Visintin, A. eds, De Gruyter Proceedings in Mathematics International Conference: Motion by mean curvature and related topics. Trento, De Gruyter, New York, 1-22.

Edited book

• Blowey, J.F. & Craig, A.W. (2005). Frontiers in Numerical Analysis: Durham 2004. Universitext. Berlin, Heidelberg: Springer.
• Blowey, J.F., Craig, A.W. & Shardlow, T. (2003). Frontiers in Numerical Analysis: Durham 2002. Universitext. Berlin: Springer.
• Blowey, J.F., Coleman, J.P. & Craig, A.W. (2001). Theory and numerics of differential equations. Universitext. New York: Springer.

Journal Article

• Blowey, J. F., King, J. R. & Langdon, S. (2007). Small- and waiting-time behaviour of the thin-film equation. SIAM Journal on Applied Mathematics 67(6): 1776-1807.
• J.F. Blowey & M.R. Garvie (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.
• Blowey, J.F. & Garvie, M.R. (2005). A reaction-diffusion system of λ–ω type Part I: Mathematical analysis. European journal of applied mathematics 16(1): 1-19.
• J.W. Barrett & J.F. Blowey (2004). Finite element approximation of a nonlinear cross-diffusion population model. Numerische Mathematik 98(2): 195-221.
• J.W. Barrett & J.F. Blowey (2002). Finite element approximation of an Allen-Cahn/Cahn-Hilliard system. IMA Journal of Numerical Analysis 22(1): 11-71.
• Barrett, J.W. & Blowey, J.F. (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.
• John W. Barrett & James F. Blowey (2001). Finite Element Approximation of a Degenerate Allen--Cahn/Cahn--Hilliard System. SIAM journal on numerical analysis 39(5): 1598-1624.
• J.W. Barrett, J.F. Blowey & H. Garcke (2001). On Fully Practical Finite Element Approximations of Degenerate Cahn-Hilliard Systems. ESAIM: Mathematical Modelling and Numerical Analysis = Modelisation Mathematique et Analyse Numerique 35(4): 713-748.
• J.W. Barrett, J.F. Blowey & H. Garcke (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.
• Blowey, J.F. & Barrett, J.W. (1999). Finite element approximation of the Cahn-Hilliard equation with concentration dependent mobility. Mathematics of computation 68(226): 487-517.
• Blowey, J.F. & Barrett, J.W. (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.
• Blowey, J.F., Barrett, J.W. & Garcke, H. (1999). Finite element approximation of the Cahn-Hilliard equation with degenerate mobility. SIAM journal on numerical analysis 37(1): 286-318.
• Blowey, J.F. & Barrett, J.W. (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.
• Blowey, J.F. & Barrett, J.W. (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.
• Blowey, J.F. & Barrett, J.W. (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.
• Blowey, J.F., Barrett, J.W. & Garcke, H. (1998). Finite element approximation of a fourth order nonlinear degenerate parabolic equation. Numerische mathematick 80(4): 525-556.
• Blowey JF & Barrett J.W. (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.
• Blowey, J.F., Copetti, M.I.M. & Elliott, C.M. (1996). Numerical analysis of a model for phase separation of a multicomponent alloy. IMA journal of numerical analysis 16(1): 111-139.
• Blowey, J.F. & Barrett, J.W. (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.
• Blowey, J.F. & Barrett, J.W. (1995). An error bound for the finite element approximation of the Cahn-Hilliard equation with logarithmic free energy. Numerische mathematick 72(17): 1-20.
• Blowey, J.F. & Elliott, C.M. (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.