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math.AP2015
Coupled bulk-surface free boundary problems arising from a mathematical model of receptor-ligand dynamics
Charles M. Elliott, Thomas Ranner, Chandrasekhar Venkataraman
We consider a coupled bulk-surface system of partial differential equations with nonlinear coupling modelling receptor-ligand dynamics. The model arises as a simplification of a ma…
math.AP2014
A computational approach to an optimal partition problem on surfaces
Charles M. Elliott, Thomas Ranner
We explore an optimal partition problem on surfaces using a computational approach. The problem is to minimise the sum of the first Dirichlet Laplace--Beltrami operator eigenvalues…