Search Results for author: Charles M. Elliott

Found 3 papers, 0 papers with code

Models for information propagation on graphs

no code implementations19 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.

Cahn-Hilliard equations on an evolving surface

no code implementations20 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

A formula for membrane mediated point particle interactions on near spherical biomembranes

no code implementations8 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

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