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September 1, 2023 (v1)Journal articleUploaded on: November 25, 2023
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June 28, 2023 (v1)Publication
A novel numerical strategy is introduced for computing approximations of solutions to a Cahn-Hilliard model with degenerate mobilities. This model has recently been introduced as a second-order phase-field approximation for surface diffusion flows. Its numerical discretization is challenging due to the degeneracy of the mobilities, which...
Uploaded on: July 1, 2023 -
2022 (v1)Journal article
By revisiting the notion of generalized second fundamental form originally introduced by Hutchinson for a special class of integral varifolds, we define a weak curvature tensor that is particularly well-suited for being extended to general varifolds of any dimension and codimension through regularization. The resulting approximate second...
Uploaded on: February 22, 2023