3 papers
math.NA2026
On the convergence and efficiency of splitting schemes for the Cahn-Hilliard-Biot model
Cedric Riethmüller, Erlend Storvik
In this paper, we present a novel solution strategy for the Cahn-Hilliard-Biot model, a three-way coupled system that features the interplay of solid phase separation, fluid dynami…
math.AP2024
Well-posedness analysis of the Cahn-Hilliard-Biot model
Cedric Riethmüller, Erlend Storvik, Jakub Wiktor Both +1
We investigate the well-posedness of the recently proposed Cahn-Hilliard-Biot model. The model is a three-way coupled PDE of elliptic-parabolic nature, with several nonlinearities…
math.AP2024
Sharp-Interface Limit of the Cahn-Hilliard-Biot Equations
Erlend Storvik, Carina Bringedal
In this letter, we derive the sharp-interface limit of the Cahn-Hilliard-Biot equations using formal matched asymptotic expansions. We find that in each sub-domain, the quasi-stati…