23 citations · 24 across the 5 of their papers we have counts for
6 papers
Multi-component phase separation and small deformations of a spherical biomembrane
Diogo Caetano, Charles M. Elliott, Maurizio Grasselli +1
We focus on the derivation and analysis of a model for multi-component phase separation occurring on biological membranes, inspired by observations of lipid raft formation. The mod…
Free boundary limits of coupled bulk-surface models for receptor-ligand interactions on evolving domains
Amal Alphonse, Diogo Caetano, Charles M. Elliott +1
We derive various novel free boundary problems as limits of a coupled bulk-surface reaction-diffusion system modelling ligand-receptor dynamics on evolving domains. These limiting…
Bulk-surface systems on evolving domains
Diogo Caetano, Charles M. Elliott, Bao Quoc Tang
Bulk-surface systems on evolving domains are studied. Such problems appear typically from modelling receptor-ligand dynamics in biological cells. Our first main result is the globa…
Regularisation and separation for evolving surface Cahn-Hilliard equations
Diogo Caetano, Charles M. Elliott, Maurizio Grasselli +1
We consider the Cahn-Hilliard equation with constant mobility and logarithmic potential on a two-dimensional evolving closed surface embedded in , as well as a related…
Function spaces, time derivatives and compactness for evolving families of Banach spaces with applications to PDEs
Amal Alphonse, Diogo Caetano, Ana Djurdjevac +1
We develop a functional framework suitable for the treatment of partial differential equations and variational problems on evolving families of Banach spaces. We propose a definiti…
Cahn-Hilliard equations on an evolving surface
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}. The model…