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20212024
most citedFunction spaces, time derivatives and compactness for evolving families of Banach spaces with applications to PDEs

23 citations · 24 across the 5 of their papers we have counts for

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Showing 2022 · math.APShow all

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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…