Outputs (28)

Some Remarks on Functional Analysis (2014)
Book Chapter
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

Functional analysis is a key tool in the study of partial differential equations which helps to answer key questions such as existence, well-posedness, and the class in which a solution should belong. We begin these remarks by introducing normed spac... Read More about Some Remarks on Functional Analysis.

Small- and waiting-time behavior of the thin-film equation (2007)
Journal Article
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

We consider the small-time behavior of interfaces of zero contact angle solutions to the thin-film equation. For a certain class of initial data, through asymptotic analyses, we deduce a wide variety of behavior for the free boundary point. These are... Read More about Small- and waiting-time behavior of the thin-film equation.

Global existence and uniqueness of weak solutions to a reaction-diffusion system of lambda-omega type. (2005)
Journal Article
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

Frontiers in Numerical Analysis: Durham 2004. (2005)
Book
Blowey, J., & Craig, A. (Eds.). (2005). Frontiers in Numerical Analysis: Durham 2004. Springer Verlag. https://doi.org/10.1007/3-540-28884-8

A reaction-diffusion system of λ–ω type Part I: Mathematical analysis. (2005)
Journal Article
Blowey, J., & Garvie, M. (2005). Part I: Mathematical analysis. European Journal of Applied Mathematics, 16(1), 1-19. https://doi.org/10.1017/s0956792504005534

We study two coupled reaction-diffusion equations of the $\lambda$–$\omega$ type [11] in $d\,{\le}\,3$ space dimensions, on a convex bounded domain with a $C^2$ boundary. The equations are close to a supercritical Hopf bifurcation in the reaction kin... Read More about A reaction-diffusion system of λ–ω type Part I: Mathematical analysis..

Finite element approximation of a nonlinear cross-diffusion population model (2004)
Journal Article
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

Frontiers in Numerical Analysis: Durham 2002. (2003)
Book
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

This book contains detailed lecture notes on six topics at the forefront of current research in numerical analysis and applied mathematics. Each set of notes presents a self-contained guide to a current research area and has an extensive bibliography... Read More about Frontiers in Numerical Analysis: Durham 2002..

Finite element approximation of an Allen-Cahn/Cahn-Hilliard system (2002)
Journal Article
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

We consider an Allen–Cahn/Cahn–Hilliard system with a non-degenerate mobility and (i) a logarithmic free energy and (ii) a non-smooth free energy (the deep quench limit). This system arises in the modelling of phase separation and ordering in binary... Read More about Finite element approximation of an Allen-Cahn/Cahn-Hilliard system.

Finite element approximation of a model for order-disorder and phase separationin binary alloys (2001)
Presentation / Conference Contribution
Blowey, J., Barrett, J., Feistauer, M., Rannacher, R., & Kozel, K. (2001, December). Finite element approximation of a model for order-disorder and phase separationin binary alloys. Presented at 4th Summer Conference on Numerical Modelling in Continuum Mechanics, Prague

Finite Element Approximation of a Degenerate Allen--Cahn/Cahn--Hilliard System (2001)
Journal Article
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

We consider a fully practical finite element approximation of an Allen--Cahn/Cahn--Hilliard system with a degenerate mobility and a logarithmic free energy. This system arises in the modeling of phase separation and ordering in binary alloys. In addi... Read More about Finite Element Approximation of a Degenerate Allen--Cahn/Cahn--Hilliard System.