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math.AP2022
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…
math.AP2022★ 1 cited
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…