Publications

My publications to date are given below.

Approximation of the harmonic-measure distribution function for the middle-thirds Cantor set

C. C. Green, & M. M. S. Nasser (2022). Journal of Computational & Applied Mathematics.

Computation of plane potential flow past multi-element airfoils using the Schottky-Klein prime function

C. C. Green, & T. K. DeLillo (2022). Physica D.

Harmonic-measure distribution functions for a class of multiply connected symmetrical slit domains

C. C. Green, M. A. Snipes, L. A. Ward & D. G. Crowdy (2021). Proceedings of the Royal Society A.

Selection of a Hele-Shaw bubble via exponential asymptotics

C. J. Lustri, C. C. Green & S. W. McCue (2019). SIAM Journal of Applied Mathematics.

A fast numerical method for ideal fluid flow in domains with multiple stirrers

M. M. S. Nasser & C. C. Green (2018). Nonlinearity.

The effect of surface tension on steadily translating bubbles in an unbounded Hele-Shaw cell

C. C. Green, C. J. Lustri & S. W. McCue (2017). Proceedings of the Royal Society A.

The Schottky-Klein prime function: a theoretical and computational tool for applications

D. G. Crowdy, E. H. Kropf, C. C. Green & M. M. S, Nasser (2016). IMA Journal of Applied Mathematics.

Analytical solutions for two hollow vortex configurations in an infinite channel

C. C. Green. (2015). European Journal of Mechanics B/Fluids.

Multiple steadily translating bubbles in a Hele-Shaw channel

C. C. Green, G. L. Vasconcelos (2014). Proceedings of the Royal Society A.

Green’s function for the Laplace-Beltrami operator on a toroidal surface

C. C. Green, J. S. Marshall (2013). Proceedings of the Royal Society A.

Analytical solutions for von Karman streets of hollow vortices

D. G. Crowdy, C. C. Green (2012). Physics of Fluids.

Conformal mappings to multiply connected polycircular arc domains

D. G. Crowdy, A. S. Fokas, C. C. Green (2011). Computational Methods & Function Theory.