18 citations · 19 across the 3 of their papers we have counts for
4 papers
Analysis of Carrier's problem
S. J. Chapman, P. E. Farrell
A computational and asymptotic analysis of the solutions of Carrier's problem is presented. The computations reveal a striking and beautiful bifurcation diagram, with an infinite s…
A mathematical model for mechanically-induced deterioration of the binder in lithium-ion electrodes
Jamie M. Foster, S. Jon Chapman, Giles Richardson +1
This study is concerned with modeling detrimental deformations of the binder phase within lithium-ion batteries that occur during cell assembly and usage. A two-dimensional porovis…
Multiscale reaction-diffusion algorithms: PDE-assisted Brownian dynamics
Benjamin Franz, Mark B. Flegg, S. Jonathan Chapman +1
Two algorithms that combine Brownian dynamics (BD) simulations with mean-field partial differential equations (PDEs) are presented. This PDE-assisted Brownian dynamics (PBD) method…
Analysis of Brownian Dynamics Simulations of Reversible Bimolecular Reactions
J. Lipkova, K. C. Zygalakis, S. J. Chapman +1
A class of Brownian dynamics algorithms for stochastic reaction-diffusion models which include reversible bimolecular reactions is presented and analyzed. The method is a generaliz…