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math.NA2026
Numerical analysis and coarsening dynamics of the Active Cahn-Hilliard equation
Abramo Agosti, Andrea Giorgini
We investigate the analysis and phase ordering dynamics of the active Cahn--Hilliard equation, providing novel results beyond the current state of the art concerning the well-posed…
math.NA2022
An image-informed Cahn-Hilliard Keller-Segel multiphase field model for tumor growth with angiogenesis
Abramo Agosti, Alice Giotta Lucifero, Sabino Luzzi
We develop a new four-phase tumor growth model with angiogenesis, derived from a diffuse-interface mixture model composed by a viable, a necrotic, a liquid and an angiogenetic comp…