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math.AP2024
The evolving surface Cahn-Hilliard equation with a degenerate mobility
Charles M. Elliott, Thomas Sales
We consider the existence of suitable weak solutions to the Cahn-Hilliard equation with a non-constant (degenerate) mobility on a class of evolving surfaces. We also show weak-stro…
math.AP2024★ 8 cited
Navier-Stokes-Cahn-Hilliard equations on evolving surfaces
Charles M. Elliott, Thomas Sales
We derive a system of equations which can be seen as an evolving surface version of the diffuse interface "Model H" of Hohenberg and Halperin (1977). We then consider the well-pose…