Staff

Dr James Blowey, D.Phil.

(email at natural.sciences-director@durham.ac.uk)

Related Links

• Teaching

Biography

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.

Research Groups

• Computational Applied Mathematics

Research Interests

• Numerical analysis

Selected Publications

Journal papers: academic

• 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.
• Blowey, J.F. & Craig, A.W. (2005). Frontiers in Numerical Analysis (Durham 2004).
• Blowey, J.F. & Garvie, M.R. (2005). A reaction-diffusion system of $\lambda-\omega$ type Part I: Mathematical analysis. 15: 1-19.
• Blowey, J.F., Craig, A.W. & Shardlow, T. (2003). Frontiers in Numerical Analysis.
• 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.
• Blowey, J.F. & Barrett, J.W. (2001). Finite element approximation of a model for order-disorder and phase separationin binary alloys.
• 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.
• 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.
• Blowey, J.F., Coleman, J.P. & Craig, A.W. (2001). Theory and Numerics of Differential Equations,.
• 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.
• 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,.
• Blowey, J.F. & Barrett, J.W. (1999). Finite element approximation of a model for phase separation of a multi-component alloy with non-smooth free energy and a concentration dependent mobility matrix.
• Blowey, J.F. & Barrett, J.W. (1999). Finite element approximation of the Cahn-Hilliard equation with concentration dependent mobility,.
• Blowey, J.F., Barrett, J.W. & Garcke, H. (1999). Finite element approximation of the Cahn-Hilliard equation with degenerate mobility,.
• Blowey, J.F., Barrett, J.W. & Garcke, H. (1998). Finite element approximation of a fourth order nonlinear degenerate parabolic equation,.
• 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,.
• 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. & Barrett, J.W. (1997). Finite element approximation of a model for phase separation of a multi-component alloy with non-smooth free energy.
• 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.
• Blowey, J.F., Copetti, M.I.M. & Elliott, C.M. (1996). The Numerical Analysis of a Model for Phase Separation of a Multi-Component Alloy.
• Blowey, J.F. & Barrett, J.W. (1995). An error bound for the finite element approximation of the Cahn-Hilliard equation with logarithmic free energy.
• Blowey, J.F. & Elliott, C.M. (1994). A phase field model with double obstacle potential.
• Blowey, J.F. & Elliott, C.M. (1993). The Cahn-Hilliard gradient theory for phase separation with non-smooth free energy Part II: Numerical analysis.
• Blowey, J.F. & Elliott, C.M. (1992). Curvature dependent phase boundary motion and parabolic double obstacle problems.

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