3 papers
math.NA2026
An iterative approach to a fluid-rigid body interaction problem
Charles M. Elliott, Thomas Sales
We study a novel approach for the existence of solutions to an incompressible fluid-rigid body interaction problem in three dimensions. Our approach introduces an iteration based o…
math.NA2024
An evolving surface finite element method for the Cahn-Hilliard equation with a logarithmic potential
Charles M. Elliott, Thomas Sales
In this paper we study semi-discrete and fully discrete evolving surface finite element schemes for the Cahn-Hilliard equation with a logarithmic potential. Specifically we conside…
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…