no code implementations • 19 Jan 2022 • Oliver R. A. Dunbar, Charles M. Elliott, Lisa Maria Kreusser
We propose and unify classes of different models for information propagation over graphs.
no code implementations • 20 Jan 2021 • Diogo Caetano, Charles M. Elliott
We describe a functional framework suitable to the analysis of the Cahn-Hilliard equation on an evolving surface whose evolution is assumed to be given \textit{a priori}.
Analysis of PDEs
no code implementations • 8 Dec 2020 • Charles M. Elliott, Philip J. Herbert
The resulting surface minimises a quadratic elastic energy (obtained by a perturbation of the Canham-Helfrich energy) subject to the point constraints which are imposed by the attachment of the proteins.
Analysis of PDEs