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math.AP2025
Transmission problems and domain decompositions for non-autonomous parabolic equations on evolving domains
Amal Alphonse, Ana Djurdjevac, Emil Engström +1
Parabolic equations on evolving domains model a multitude of applications including various industrial processes such as the molding of heated materials. Such equations are numeric…
math.AP2024
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…